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Fonctions speciales --- Harmoniques spheriques --- Fonctions de legendre
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Fonctions speciales --- Fonctions de legendre --- Harmoniques spheriques
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Fonctions speciales --- Harmoniques spheriques --- Fonctions de legendre --- Fonctions de bessel
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Potentiel, Théorie du --- Fonctions speciales --- Fonctions de legendre --- Harmoniques spheriques
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Functions, Special. --- Fonctions spéciales --- Spherical functions. --- Fonctions sphériques. --- Fonctions speciales --- Harmoniques spheriques
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Harmoniques sphériques. --- Integrals. --- Integrals. --- Intégrales. --- Polynomials. --- Polynomials. --- Polynômes. --- Spherical harmonics. --- Spherical harmonics.
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"Let SpXq be the Schwartz space of compactly supported smooth functions on the p-adic points of a spherical variety X, and let CpXq be the space of Harish- Chandra Schwartz functions. Under assumptions on the spherical variety, which are satisfied when it is symmetric, we prove Paley-Wiener theorems for the two spaces, characterizing them in terms of their spectral transforms. As a corollary, we get relative analogs of the smooth and tempered Bernstein centers - rings of multipliers for SpXq and C pXq. When X " a reductive group, our theorem for CpXq specializes to the well-known theorem of Harish-Chandra, and our theorem for SpXq corresponds to a first step - enough to recover the structure of the Bernstein center - towards the well-known theorems of Bernstein [Ber] and Heiermann [Hei01]"--
Spherical harmonics. --- p-adic analysis. --- Fourier analysis. --- Harmoniques sphériques --- Analyse p-adique --- Fourier, Analyse de --- Schwartz spaces. --- Scattering (Mathematics) --- Smoothness of functions. --- Lie algebras.
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Fourier transformations. --- Transformations (Mathematics) --- Harmonic analysis. --- Spherical harmonics. --- Fourier, Transformations de. --- Transformations (mathématiques) --- Analyse harmonique (mathématiques) --- Harmoniques sphériques. --- Transformations (mathématiques) --- Analyse harmonique (mathématiques) --- Harmoniques sphériques.
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Fonctions spéciales --- Fonctions de Lamé. --- Functions, Special. --- Lamé's functions. --- Fonctions speciales --- Transformation de laplace --- Harmoniques spheriques --- Fonctions de legendre
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