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P-adic oscillatory integrals and wave front sets

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Publication:786941
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DOI10.2140/pjm.1985.116.285zbMath0528.22008OpenAlexW2089358979MaRDI QIDQ786941

D. B. Heifetz

Publication date: 1985

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1985.116.285

zbMATH Keywords

representationsp-adic groupsadditive characteradmissible representationswave front setsSchwartz functiondistribution productskernel mapsp-adic oscillatory integralspull backspush forwards


Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Analysis on (p)-adic Lie groups (22E35)


Related Items

Motivic Wave Front Sets, Théorème d'Atiyah-Bott pour les variétés ${\frak p}$-adiques et caractères des groupes réductifs, \(\mathfrak{z}\)-finite distributions on \(p\)-adic groups, WAVE FRONT HOLONOMICITY OF -CLASS DISTRIBUTIONS ON NON-ARCHIMEDEAN LOCAL FIELDS, The wave front set of the Fourier transform of algebraic measures, Distributions and wave front sets in the uniform non‐archimedean setting, ON THE COMMUTATIVITY OF PULL-BACK AND PUSH-FORWARD FUNCTORS ON MOTIVIC CONSTRUCTIBLE FUNCTIONS, Local theta lifting of generalized Whittaker models associated to nilpotent orbits, Asymptotical behavior of one class of \(p\)-adic singular Fourier integrals



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