Special functions on locally compact fields

DOI10.1007/BF02392818zbMath0173.07005OpenAlexW2085987958MaRDI QIDQ2531899

M. Tabileson, Paul J. jun. Sally

Publication date: 1966

Published in: Acta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02392818

zbMATH Keywords

special functions

Related Items (24)

On \(p\)-adic Green's functions ⋮ Principal nilpotent orbits and reducible principal series ⋮ Determination of the real poles of the Igusa zeta function for curves ⋮ Unnamed Item ⋮ On Connes' trace formula for the Hankel transformation of order \(-1/2\) ⋮ Quantization of the affine group of a local field ⋮ Harmonic Analysis and Gamma Functions on Symplectic Groups ⋮ Polynomial configurations in sets of positive upper density over local fields ⋮ On a generalization of the Hadwiger-Nelson problem ⋮ Unnamed Item ⋮ Harmonic analysis on \(n\)-dimensional vector spaces over local fields. I: Basic results on fractional integration ⋮ Hankel transform, Langlands functoriality and functional equation of automorphic \(L\)-functions ⋮ Harmonic analysis on \(n\)-dimensional vector spaces over local fields. II: Generalized Gauss kernels and the Littlewood-Paley function ⋮ Harmonic analysis on \(n\)-dimensional vector spaces over local fields. III: Multipliers ⋮ Invariant subspaces and Fourier-Bessel transforms on the P-adic plane ⋮ Construction of Parseval Framelets Associated with GMRA on Local Fields of Positive Characteristic ⋮ Harmonic analysis of SL(2) over a locally compact field ⋮ Mellin transforms on binary fields ⋮ On singular integrals, multipliers, \(H^ 1 \)and Fourier series - a local field phenomenon ⋮ A generalization of A. Connes' trace formula ⋮ Algebras of special singular integrals over local fields ⋮ Maximal Singular Integral Transforms on Local Fields ⋮ A Schrödinger-type equation over the field of p-adic numbers ⋮ Fourier series on the ring of integers in a 𝑝-series field

Cites Work

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• Theory of spherical functions on reductive algebraic groups over p-adic fields
• Spherical Functions Over B-Adic Fields, I
• Sur les Representations des Groups Classiques -Adiques I
• Représentations unitaires du groupe des déplacements du plan $\mathfrak{p}$-adique

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