====== Pierre Gilles Lemarié-Rieusset : Articles / Papers / Pennadoù ====== * [[members:lemarie:publicatiions:navier-stokes| Equations de Navier-Stokes / Navier-Stokes equations / Kevatalennoù Navier-Stokes]] * [[members:lemarie:publicatiions:keavatalennoù all| Autres équations aux dérivées partielles / Other partial differential equations / Kevatalennoù all]] * [[members:lemarie:publicatiions:singuler| Intégrales singulières et analyse fonctionnelle / Singular integrals and function analysis / Integralennoù singuler hag analiz fonksionel ]] * [[members:lemarie:publicatiions:gwagennigoù| Théorie des ondelettes / Wavelet theory / Teorienn ar gwagennigoù ]] * [[members:lemarie:welcome:| Pierre Gilles Lemarié-Rieusset : home page]] ==== Tous les articles / All the papers / An holl pennadoù ===== * 2023 * MR4595638 Lemarié-Rieusset, Pierre-Gilles : // Forces for the Navier–Stokes equations and the Koch and Tataru theorem. // ** J. Math. Fluid Mech.** 25 (2023), no. 3, Paper No. 51, 16 pp [[https://link.springer.com/article/10.1007/s00021-023-00788-6|Springer : restricted access]] (unrevised preprint : [[https://arxiv.org/pdf/2209.12196.pdf|arXiv]]) * Lemarié-Rieusset, Pierre-Gilles : // The Navier–Stokes equations in mixed-norm time-space parabolic Morrey spaces. // to appear in ** Tunisian J. Math. ** (unrevised preprint : https://cnrs.hal.science/hal-04114339 [[|Hal]]) * 2022 * MR4526314 Lemarié-Rieusset, Pierre-Gilles : // A remark on weak-strong uniqueness for suitable weak solutions of the Navier–Stokes equations. // to appear in ** Rev. Mat. Iberoamericana ** 38 (2022), no. 7, pp. 2217–2248 [[https://ems.press/journals/rmi/articles/8736474|EMS Press : restricted access]] (unrevised preprint : [[https://arxiv.org/pdf/2111.03769.pdf|arXiv]]) * 2021 * MR4227049 Chamorro, Diego; Jarrín, Oscar; Lemarié-Rieusset, Pierre-Gilles : // Some Liouville theorems for stationary Navier-Stokes equations in Lebesgue and Morrey spaces.// ** Ann. Inst. H. Poincaré Anal. Non Linéaire ** 38 (2021), no. 3, 689–710. [[https://www.sciencedirect.com/science/article/abs/pii/S0294144920300895|Science Direct : restricted access]] (unrevised preprint : [[https://arxiv.org/abs/1806.03003|arXiv]]) * MR4248648 Chamorro, Diego; Jarrín, Oscar; Lemarié-Rieusset, Pierre-Gilles : // On the Kolmogorov dissipation law in a damped Navier-Stokes equation. // ** J. Dynam. Differential Equations ** 33 (2021), no. 2, 1109–1134. [[https://link.springer.com/article/10.1007/s10884-020-09851-6/|Springer : restricted access]] (unrevised preprint : [[https://arxiv.org/p1904.12382.pdf|arXiv]]) * MR4285150 Fernández-Dalgo, Pedro Gabriel; Lemarié-Rieusset, Pierre Gilles : // Weighted energy estimates for the incompressible Navier-Stokes equations and applications to axisymmetric solutions without swirl. // ** J. Math. Fluid Mech. ** 23 (2021), no. 3, Paper No. 76, 20 pp. [[https://link.springer.com/article/10.1007/s00021-021-00603-0|Springer : restricted access]] (unrevised preprint : [[https://arxiv.org/abs/2010.00868|arXiv]]) * MR4288119 Fernández-Dalgo, Pedro Gabriel; Lemarié-Rieusset, Pierre Gilles : // Characterisation of the pressure term in the incompressible Navier–Stokes equations on the whole space.// ** Discrete & Continuous Dynamical Systems - S ** 14 (2021), no. 8, 2917–2931. [[https://www.aimsciences.org/article/doi/10.3934/dcdss.2020408|American Institute of Mathematical Sciences : open access]] * 2020 * MR4090469 Fernández-Dalgo, Pedro Gabriel; Lemarié-Rieusset, Pierre Gilles : // Weak solutions for Navier-Stokes equations with initial data in weighted L^2 spaces.// ** Arch. Ration. Mech. Anal. ** 237 (2020). [[https://link.springer.com/article/10.1007/s00205-020-01510-w|Springer : restricted access]] (unrevised preprint : [[https://arxiv.org/abs/1906.11038|arXiv]]) * 2019 * MR3927023 Chamorro, Diego; Jarrín, Oscar; Lemarié-Rieusset, Pierre-Gilles : // Frequency decay for Navier–Stokes stationary solutions.// ** C. R. Math. Acad. Sci. Paris ** 357 (2019), no. 2, 175–179. [[https://www.sciencedirect.com/science/article/pii/S1631073X19300159|Science Direct : restricted access]] (unrevised preprint : [[https://hal.archives-ouvertes.fr/hal-01664935|Hal]]) * 2018 * MR3734981 Lemarié-Rieusset, Pierre Gilles : // Sobolev multipliers, maximal functions and parabolic equations with a quadratic nonlinearity.// ** J. Funct. Anal.** 274 (2018), no. 3, 659–694. [[https://www.sciencedirect.com/science/article/pii/S002212361730438X|Science Direct : restricted access]] ([[https://hal.archives-ouvertes.fr/hal-01628946|Hal]]) * MR3818667 Chamorro, Diego; Lemarié-Rieusset, Pierre Gilles; Mayoufi, Kawther : // Local stability of energy estimates for the Navier–Stokes equations. // ** Comm. Contemp. Math.** 710 (2018), 53-64. [[https://hal.archives-ouvertes.fr/hal-01580411|Hal]] * MR3730011 Ibrahim, Slim; Lemarié-Rieusset, Pierre Gilles; Masmoudi, Nader : // Time-periodic forcing and asymptotic stability for the Navier Stokes Maxwell equations.// ** Comm. Pure Appll. Math.** 71 (2018), no. 1, 51–89. [[http://onlinelibrary.wiley.com/doi/10.1002/cpa.21728/full|Wiley : restricted access]] (unrevised preprint : [[http://arxiv.org/abs/1601.06458|arXiv]]) * MR3749261 Chamorro, Diego; Lemarié-Rieusset, Pierre Gilles; Mayoufi, Kawther : // The role of the pressure in the partial regularity theory for weak solutions of the Navier-Stokes equations. // ** Arch. Rat. Mech. Anal.** 228 (2018), no. 1, 237–277. [[https://link.springer.com/article/10.1007/s00205-017-1191-3|Springer : restricted access]] (unrevised preprint : [[http://arxiv.org/abs/1602.06137|arXiv]]) * 2016 * MR3520809 Lazar, Omar; Lemarié-Rieusset, Pierre Gilles : // Infinite energy solutions for a 1D transport equation with nonlocal velocity.// ** Dyn. Partial Differ. Equ.** 13 (2016), no. 2, 107–131. [[https://www.intlpress.com/site/pub/pages/journals/items/dpde/content/vols/0013/0002/a002/index.php|International Presss : open access]] * 2015 * MR3349618 Ajmi, Neyla; Jouini, Abdellatif; Lemarié-Rieusset, Pierre Gilles: // Biorthogonal multiresolution analysis on a triangle and applications.// ** J. Comput. Appl. Math. ** 288 (2015), 233–243 [[https://www.sciencedirect.com/science/article/pii/S0377042715002277|Science Direct : open access]] * MR3319529 Lemarié-Rieusset, Pierre Gilles : // On some classes of time-periodic solutions for the Navier-Stokes equations in the whole space. // ** SIAM J. Math. Anal. ** 47 (2015), no. 2, 1022-1043 [[http://epubs.siam.org/toc/sjmaah/47/2|SIAM : restricted access]] (unrevised preprint : [[http://www.maths.univ-evry.fr/prepubli/411.pdf]]) * 2014 * MR3269728 Lemarié-Rieusset, Pierre Gilles : //Erratum to: Multipliers and Morrey spaces.// **Potential Anal.** 41 (2014), no. 4, 1359–1362. [[http://link.springer.com/article/10.1007/s11118-014-9407-8| Springer : open access]] * 2013 * MR3110500 Chamorro, Diego; Lemarié-Rieusset, Pierre-Gilles : // Real interpolation method, Lorentz spaces and refined Sobolev inequalities.// ** J. Funct. Anal.** 265 (2013), no. 12, 3219–3232. [[http://www.sciencedirect.com/science/article/pii/S0022123613003285|Science Direct : open access]] * MR3034598 Lemarié-Rieusset, Pierre Gilles : // Multipliers and Morrey spaces.// ** Potential Anal.** 38 (2013), no. 3, 741–752. [[http://link.springer.com/article/10.1007/s11118-012-9295-8|Springer : restricted access]] (unrevised preprint : [[http://www.maths.univ-evry.fr/prepubli/356.pdf]]) * MR3129022 Lemarié-Rieusset, Pierre Gilles : //Small data in an optimal Banach space for the parabolic-parabolic and parabolic-elliptic Keller-Segel equations in the whole space//. **Adv. Differential Equations** 18 (2013), no. 11-12, 1189–1208. [[https://projecteuclid.org/euclid.ade/1378327383| Euclid : restricted access]] (unrevised preprint : [[http://www.maths.univ-evry.fr/prepubli/371.pdf]]) * MR3061925 Jouini, Abdellatif; Lemarié-Rieusset, Pierre Gilles: // Wavelet bases on the L-shaped domain.// ** Phys. D ** 254 (2013), 12–17. [[http://www.sciencedirect.com/science/article/pii/S0167278913000857| Science Direct : restricted access]] (unrevised preprint : [[http://www.maths.univ-evry.fr/pages_perso/lemarie/publi/103_Lemarie_Jouini.pdf]]) * 2012 * MR3024130 Lemarié-Rieusset, Pierre Gilles : // The role of Morrey spaces in the study of Navier-Stokes and Euler equations.// ** Eurasian Math. J.** 3 (2012), no. 3, 62–93. [[http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=emj&paperid=96&option_lang=eng| Math.Net.Ru : open access]] * MR2949871 Lemarié-Rieusset, Pierre Gilles : // A remark on the div-curl lemma.// ** Studia Math.** 210 (2012), no. 1, 77–92. [[https://eudml.org/doc/285463| EUDML : open access]] * MR2990136 Chamorro, Diego; Lemarié-Rieusset, Pierre Gilles : // Quasi-geostrophic equations, nonlinear Bernstein inequalities and $\alpha$-stable processes. // ** Rev. Mat. Iberoam.** 28 (2012), no. 4, 1109–1122. [[http://www.ems-ph.org/journals/show_abstract.php?issn=0213-2230&vol=28&iss=4&rank=10| EMS : restricted access]] (preprint : [[http://www.maths.univ-evry.fr/prepubli/310.pdf]]) * MR2909904 Lemarié-Rieusset, Pierre Gilles : // Euler equations and real harmonic analysis.// ** Arch. Ration. Mech. Anal.** 204 (2012), no. 2, 355–386. [[http://link.springer.com/article/10.1007/s00205-012-0504-9|Springer : restricted access]] (unrevised preprint : {{members:lemarie:publications:euler_rha_arma.pdf}}) * Lemarié-Rieusset, Pierre Gilles : // Good or not so good papers I have read or have not read, // in **__All that math, Portraits of mathematicians as young readers.__**, ** Revista Mat. Ibero-amer. ** (special issue, 2012), 201-204 [[http://rmi.rsme.es/index.php?option=com_content&view=article&id=101%3Aall-that-math-portraits-of-mathematicians-as-young-readers&catid=154%3Abiblioteca-of-rmi&Itemid=96&lang=en| RMI :free access]] * 2011 * MR2835875 Lemarié-Rieusset, Pierre Gilles; Lelièvre, Frédéric : // Suitable solutions for the Navier-Stokes problem with an homogeneous initial value.// ** Comm. Math. Phys.** 307 (2011), no. 1, 133–156. [[http://link.springer.com/article/10.1007%2Fs00220-011-1291-0|Springer : restricted access]] (unrevised preprint : [[http://www.maths.univ-evry.fr/prepubli/313.pdf]]) * MR2817380 Lemarié-Rieusset, Pierre Gilles : // Une remarque sur la valeur absolue dans certains espaces de Sobolev ou de Besov.// [Remark on the absolute value in certain Sobolev or Besov spaces] ** C. R. Math. Acad. Sci. Paris ** 349 (2011), no. 11-12, 629–632. [[http://www.sciencedirect.com/science/article/pii/S1631073X11001300| Science Direct : restricted access]] (unrevised preprint : [[http://www.maths.univ-evry.fr/pages_perso/lemarie/publi/111_absol.pdf]]) * MR2804017 Ajmi, Neyla; Jouini, Abdellatif; Lemarié Rieusset, Pierre Gilles : // Wavelet bases on a triangle.// ** Appl. Math. Comput.** 217 (2011), no. 22, 9387–9396. [[http://www.sciencedirect.com/science/article/pii/S0096300311005844| Science Direct : restricted access]] (unrevised preprint : [[http://www.maths.univ-evry.fr/prepubli/300.pdf]]) * 2009 * MR2468236 Lemarié-Rieusset, Pierre-Gilles; Prioux, Nicolas : //The Navier-Stokes equations with data in ${\rm bmo}^{-1}$.// ** Nonlinear Anal.** 70 (2009), no. 1, 280–297. [[http://www.sciencedirect.com/science/article/pii/S0362546X07008188| Science Direct : restricted access]] (unrevised preprint : [[http://www.maths.univ-evry.fr/pages_perso/lemarie/publi/107_Lemarie_Prioux.pdf]]) * 2008 * MR2454591 Lemarié-Rieusset, Pierre Gilles : // The Picard iterates for the Navier-Stokes equations in $L^3(\Bbb R^3)$.// ** Phys. D ** 237 (2008), no. 10-12, 1334–1345. [[http://www.sciencedirect.com/science/article/pii/S0167278908000936| Science Direct : restricted access]] (unrevised preprint : {{members:lemarie:publicatiions:physicad3.pdf}}) * 2007 * MR2414497 Lemarié-Rieusset, Pierre Gilles : // The Navier-Stokes equations in the critical Morrey-Campanato space.// ** Rev. Mat. Iberoam.** 23 (2007), no. 3, 897–930. [[http://projecteuclid.org/euclid.rmi/1204128305|Euclid : open access]] * MR2327134 Lemarié-Rieusset, Pierre Gilles : // Uniqueness for the Navier-Stokes problem: remarks on a theorem of Jean-Yves Chemin.// ** Nonlinearity ** 20 (2007), no. 6, 1475–1490. . [[http://iopscience.iop.org/0951-7715/20/6/009| IOP : restricted access]] (unrevised preprint : [[http://www.maths.univ-evry.fr/pages_perso/lemarie/publi/107_kritik.pdf]]) * MR2288434 Lemarié-Rieusset, Pierre Gilles; May, Ramzi : // Uniqueness for the Navier-Stokes equations and multipliers between Sobolev spaces.// ** Nonlinear Anal.** 66 (2007), no. 4, 819–838. [[http://www.sciencedirect.com/science/article/pii/S0362546X05010485|Science Direct : restricted access]] (unrevised preprint : [[http://www.maths.univ-evry.fr/pages_perso/lemarie/publi/107_Lemarie_May.pdf]]) * 2006 * MR2268123 Lemarié-Rieusset, Pierre Gilles : // Point fixe d'une application non contractante.// (French) [Fixed point of a noncontractive mapping] ** Rev. Mat. Iberoam.** 22 (2006), no. 1, 339–356. [[http://projecteuclid.org/euclid.rmi/1148492186|Euclid : open access]] * MR2250634 Lemarié-Rieusset, Pierre Gilles; Gala, Sadek : // Multipliers between Sobolev spaces and fractional differentiation.// ** J. Math. Anal. Appl.** 322 (2006), no. 2, 1030–1054. [[http://www.sciencedirect.com/science/article/pii/S0022247X05007225| Science Direct : open archive]] * MR2230466 Lemarié-Rieusset, Pierre Gilles; Zhioua, Ali : // Weakly singular initial values for the Stokes equation on a half space.// ** J. Math. Anal. Appl.** 320 (2006), no. 1, 205–229.[[http://www.sciencedirect.com/science/article/pii/S0022247X05006244| Science Direct : open archive]] * 2005 * MR2181389 Marchand, Fabien; Lemarié-Rieusset, Pierre Gilles // Solutions auto-similaires non radiales pour l'équation quasi-géostrophique dissipative critique.// (French) [Non-radial self-similar solutions for the critical dissipative quasi-geostrophic equation] ** C. R. Math. Acad. Sci. Paris ** 341 (2005), no. 9, 535–538. [[http://www.sciencedirect.com/science/article/pii/S1631073X05003808| Science Direct : restricted access]] * 2004 * MR2057722 Lemarié-Rieusset, Pierre-Gilles : // Nouvelles remarques sur l'analyticité des solutions milds des équations de Navier-Stokes dans $\Bbb R^3$.// (French) [Further remarks on the analyticity of mild solutions for the Navier-Stokes equations in $\Bbb R^3$] ** C. R. Math. Acad. Sci. Paris ** 338 (2004), no. 6, 443–446. [[http://www.sciencedirect.com/science/article/pii/S1631073X04000421| Science Direct : restricted access]] * 2000 * MR1813331 Furioli, Giulia; Lemarié-Rieusset, Pierre G.; Terraneo, Elide : // Unicité dans $L^3(\Bbb R^3)$ et d'autres espaces fonctionnels limites pour Navier-Stokes.// (French) [Uniqueness in $L^3(\Bbb R^3)$ and other functional limit spaces for Navier-Stokes equations] ** Rev. Mat. Iberoamericana ** 16 (2000), no. 3, 605–667. [[http://rmi.rsme.es/index.php?option=com_docman&task=cat_view&gid=117&Itemid=91&lang=en| RMI : free access]] * MR1751667 Furioli, Giulia; Lemarié-Rieusset, Pierre Gilles; Zahrouni, Ezzedine; Zhioua, Ali : // Un théorème de persistance de la régularité en norme d'espaces de Besov pour les solutions de Koch et Tataru des équations de Navier-Stokes dans $\mathbb{R}^3$.// (French) [A theorem of preservation of regularity in the norm of Besov spaces for the Koch-Tataru solutions of the Navier-Stokes equations in $\mathbb{R}^3$] ** C. R. Acad. Sci. Paris ** Sér. I Math. 330 (2000), no. 5, 339–342. [[http://www.sciencedirect.com/science/article/pii/S0764444200001579| Science Direct : restricted access]] * MR1748305 Lemarié-Rieusset, Pierre Gilles : // Une remarque sur l'analyticité des solutions milds des équations de Navier-Stokes dans $\mathbb{R}^3$.// (French) [On the analyticity of mild solutions for the Navier-Stokes equations in ${\bf R}^3$] ** C. R. Acad. Sci. Paris** Sér. I Math. 330 (2000), no. 3, 183–186. [[http://www.sciencedirect.com/science/article/pii/S0764444200001038| Science Direct : restricted access]] * 1999 * MR1701373 Lemarié-Rieusset, Pierre Gilles : // Solutions faibles d'énergie infinie pour les équations de Navier-Stokes dans $\mathbb{R}^3$.// (French) [Weak infinite-energy solutions for the Navier-Stokes equations in $\mathbb{R}^3$] ** C. R. Acad. Sci. Paris ** Sér. I Math. 328 (1999), no. 12, 1133–1138. [[http://www.sciencedirect.com/science/article/pii/S0764444299804273| Science Direct : restricted access]] * 1998 * MR1633211 Lemarié-Rieusset, Pierre Gilles : // Some remarks on the Navier-Stokes equations in $\mathbb{R}^3$.// ** J. Math. Phys. ** 39 (1998), no. 8, 4108–4118. [[http://scitation.aip.org/content/aip/journal/jmp/39/8/10.1063/1.532486| AIP : restricted access]] (unrevised preprint : [[http://www.maths.univ-evry.fr/pages_perso/lemarie/publi/098_jmp%20.pdf]]) * MR1492794 Lemarié-Rieusset, Pierre Gilles; Zahrouni, Ezzedine : // More regular wavelets.// ** Appl. Comput. Harmon. Anal. ** 5 (1998), no. 1, 92–105. [[http://www.sciencedirect.com/science/article/pii/S1063520397902256| Science Direct : open archive]] * 1997 * MR1617661 Kateb, Djalil; Lemarié-Rieusset, Pierre Gilles : // The phase of the Daubechies filters. // ** Rev. Mat. Iberoamericana ** 13 (1997), no. 2, 245–305. [[http://rmi.rsme.es/index.php?option=com_docman&task=cat_view&gid=106&Itemid=91&lang=en|RMI : free access]] * MR1490408 Furioli, Giulia; Lemarié-Rieusset, Pierre-Gilles; Terraneo, Elide : // Sur l'unicité dans $L^3(\mathbb{R}^3)$ des solutions "mild'' des équations de Navier-Stokes.// (French) [On the uniqueness in $L^3(\mathbb{R}^3)$ of mild solutions for the Navier-Stokes equations] ** C. R. Acad. Sci. Paris ** Sér. I Math. 325 (1997), no. 12, 1253–1256. [[http://www.sciencedirect.com/science/article/pii/S0764444297823488| Science Direct : restricted access]] * MR1462330 Lemarié-Rieusset, Pierre Gilles : // Fonctions d'échelle interpolantes, polynômes de Bernstein et ondelettes non stationnaires.// (French) [Interpolating scaling functions, Bernstein polynomials and nonstationary wavelets] ** Rev. Mat. Iberoamericana ** 13 (1997), no. 1, 91–188. [[http://rmi.rsme.es/index.php?option=com_docman&task=cat_view&gid=105&Itemid=91&lang=en|RMI : free access]] * MR1429683 Lemarié-Rieusset,Pierre Gilles : // On the existence of compactly supported dual wavelets.// ** Appl. Comput. Harmon. Anal.** 4 (1997), no. 1, 117–118. [[http://www.sciencedirect.com/science/article/pii/S1063520396901992| Science Direct : open archive]] * 1996 * MR1429544 Lemarie-Rieusset, Pierre Gilles : // Some remarks on orthogonal and bi-orthogonal wavelets. // ** Mat. Apl. Comput. ** 15 (1996), no. 2, 125–137. [[http://books.google.fr/books?id=070jo8JvTM4C&printsec=frontcover&hl=fr&source=gbs_ge_summary_r&cad=0#v=onepage&q&f=false| Google books : open access]] * MR1386461 Lemarié-Rieusset, Pierre-Gilles : // Une nouvelle famille d'ondelettes à support compact.// (French) [A new family of compactly supported wavelets] ** C. R. Acad. Sci. Paris ** Sér. I Math. 322 (1996), no. 7, 609–611. * 1995 * MR1364906 Lemarié-Rieusset, Pierre Gilles : // Ondelettes et fonctions d'échelle à support compact.// (French) [Compactly supported wavelets and scaling functions] Proceedings of the Conference in Honor of Jean-Pierre Kahane (Orsay, 1993). ** J. Fourier Anal. Appl.** 1995, Special Issue, 509–523. * MR1354918 Kateb, Djalil; Lemarié-Rieusset, Pierre Gilles : // Asymptotic behavior of the Daubechies filters.// ** Appl. Comput. Harmon. Anal.** 2 (1995), no. 4, 398–399. [[http://www.sciencedirect.com/science/article/pii/S1063520385710299| Science Direct : open archive]] * MR1320821 Kateb, Djalil; Lemarié-Rieusset, Pierre-Gilles : // Sur la phase des filtres de Daubechies.// (French) [On the phase of the Daubechies filters] ** C. R. Acad. Sci. Paris ** Sér. I Math. 320 (1995), no. 1, 5–8. * 1994 * MR1300948 Lemarié-Rieusset, Pierre-Gilles : // Un théorème d'inexistence pour les ondelettes vecteurs à divergence nulle.// (French) [A nonexistence theorem for divergence-free vector wavelets] ** C. R. Acad. Sci. Paris ** Sér. I Math. 319 (1994), no. 8, 811–813. * MR1286477 Lemarié-Rieusset, Pierre-Gilles : // Projecteurs invariants, matrices de dilatation, ondelettes et analyses multi-résolutions.// (French) [Invariant projectors, dilation matrices, wavelets and multiresolution analyses] ** Rev. Mat. Iberoamericana ** 10 (1994), no. 2, 283–347. [[http://rmi.rsme.es/index.php?option=com_docman&task=cat_view&gid=68&Itemid=91&lang=en| RMI : free access]] * MR1285891 Lemarié-Rieusset, Pierre-Gilles : // Polynômes de Bernstein en théorie des ondelettes.// (French) [Bernstein polynomials and wavelets] ** C. R. Acad. Sci. Paris ** Sér. I Math. 319 (1994), no. 1, 21–24. * MR1282348 Lemarié-Rieusset, Pierre-Gilles : // Distributions dont tous les coefficients d'ondelettes sont nuls.// (French) [For which distributions are all wavelet coefficients equal to $0$?] ** C. R. Acad. Sci. Paris ** Sér. I Math. 318 (1994), no. 12, 1083–1086. * MR1274015 Kahane, Jean-Pierre; Lemarié-Rieusset, Pierre-Gilles : // Remarques sur la formule sommatoire de Poisson.// (French) [Remarks on the Poisson summation formula] ** Studia Math.** 109 (1994), no. 3, 303–316. [[https://eudml.org/doc/216076| EUDML : open access]] * MR1259500 Lemarié-Rieusset, Pierre Gilles : // Ondelettes et poids de Muckenhoupt.// (French) [Wavelets and Muckenhoupt weights] ** Studia Math. ** 108 (1994), no. 2, 127–147. [[https://eudml.org/doc/216045| EUDML : open access]] * 1993 * MR1257222 Lemarié-Rieusset, Pierre-Gilles : // Une remarque sur les propriétés multi-résolution des fonctions splines.// (French) [A remark on the multiresolution properties of spline functions] ** C. R. Acad. Sci. Paris ** Sér. I Math. 317 (1993), no. 12, 1115–1117. * MR1246463 Jouini, Abdellatif; Lemarie-Rieusset, Pierre Gilles : // Analyse multi-résolution bi-orthogonale sur l'intervalle et applications.// (French) [Biorthogonal multiresolution analysis on the interval, and applications] ** Ann. Inst. H. Poincaré Anal. Non Linéaire ** 10 (1993), no. 4, 453–476. [[http://www.numdam.org/item/AIHPC_1993__10_4_453_0/| Numdam : open access]] * MR1232847 Lemarié-Rieusset, Pierre-Gilles : // Ondelettes generalisées et fonctions d'échelle à support compact.// (French) [Generalized wavelets and scaling functions with compact support] ** Rev. Mat. Iberoamericana ** 9 (1993), no. 2, 333–371. [[https://eudml.org/doc/39442|EUDML : free access]] * MR1202535 Lemarié-Rieusset, Pierre Gilles : // Fonctions d'échelle pour les ondelettes de dimension $n$.// (French) [Scaling functions for $n$-dimensional wavelets] ** C. R. Acad. Sci. Paris ** Sér. I Math. 316 (1993), no. 2, 145–148. * 1992 * MR1202418 Lemarié-Rieusset, Pierre Gilles : // Sur l'existence des analyses multi-résolutions en théorie des ondelettes.// (French) [On the existence of multiresolution analyses in wavelet theory] ** Rev. Mat. Iberoamericana** 8 (1992), no. 3, 457–474. [[https://eudml.org/doc/39428|EUDML free access]] * MR1191345 Lemarie-Rieusset, Pierre Gilles : // Analyses multi-résolutions non orthogonales, commutation entre projecteurs et dérivation et ondelettes vecteurs à divergence nulle.// (French) [Nonorthogonal multiresolution analyses, commutation between projectors and differentiation and divergence-free vector wavelets] ** Rev. Mat. Iberoamericana ** 8 (1992), no. 2, 221–237. [[https://eudml.org/doc/39426|EUDML : free access]] * MR1149631 Lemarié-Rieusset, Pierre-Gilles : // Existence de "fonction-père" pour les ondelettes à support compact.// (French) [Existence of "father functions" for compactly supported wavelets] ** C. R. Acad. Sci. Paris ** Sér. I Math. 314 (1992), no. 1, 17–19. * 1991 * MR1133376 Lemarié, Pierre Gilles : // Fonctions à support compact dans les analyses multi-résolutions.// (French) [Compactly supported functions in multiresolution analyses] ** Rev. Mat. Iberoamericana ** 7 (1991), no. 2, 157–182. [[https://eudml.org/doc/39420| EUDML : free access]] * MR1126417 Lemarié-Rieusset, Pierre-Gilles; Malgouyres, Gérard : // Support des fonctions de base dans une analyse multi-résolution.// (French) [Support of the scaling function in a multiresolution analysis] ** C. R. Acad. Sci. Paris ** Sér. I Math. 313 (1991), no. 6, 377–380. * MR1126382 Lemarié-Rieusset, Pierre Gilles : // Ondelettes vecteurs à divergence nulle.// [Divergence-free vector wavelets] ** C. R. Acad. Sci. Paris ** Sér. I Math. 313 (1991), no. 5, 213–216. * MR1108488 Lemarié, Pierre Gilles : // La propriété de support minimal dans les analyses multi-résolution.// (French) [The minimal-support property in multi-resolution analysis] ** C. R. Acad. Sci. Paris ** Sér. I Math. 312 (1991), no. 11, 773–776. * Lemarié, Pierre Gilles : //Ondelettes et opérateurs //[russian] ** Algebra and Analysis ** (Leningrad) 3, 253-264 [[http://www.mathnet.ru/links/09ada0a9dead838aabfd6f5ce2bd9ce8/aa251.pdf| Math-Net.Ru : open access]] * 1989 * MR1015808 Lemarié, Pierre Gilles : // Base d'ondelettes sur les groupes de Lie stratifiés.// (French) [Basis of wavelets on stratified Lie groups] ** Bull. Soc. Math. France ** 117 (1989), no. 2, 211–232. [[http://www.numdam.org/item/?id=BSMF_1989__117_2_211_0| Numdam : open access]] * 1988 * MR0964171 Lemarié, Pierre Gilles : // Ondelettes à localisation exponentielle.// (French) [Ondelettes with exponential localization] ** J. Math. Pures Appl.** (9) 67 (1988), no. 3, 227–236. * 1986 * MR0864650 Lemarié, P. G.; Meyer, Y. : // Ondelettes et bases hilbertiennes.// (French) [Wavelets and Hilbert bases] ** Rev. Mat. Iberoamericana ** 2 (1986), no. 1-2, 1–18. [[https://eudml.org/doc/39298|EUDML : free access]] * 1985 * MR0812324 Lemarié, Pierre Gilles : // Continuité sur les espaces de Besov des opérateurs définis par des intégrales singulières.// (French) [Continuity on Besov spaces of operators defined by singular integrals] ** Ann. Inst. Fourier ** (Grenoble) 35 (1985), no. 4, 175–187. [[http://www.numdam.org/item/AIF_1985__35_4_175_0/| Numdam : open access]]