On the transverse symbol of vectorial distributions and some applications to harmonic analysis
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TLDR
In this paper, the transverse symbol of a vector-valued distribution supported on a submanifold is introduced and a micro-local vanishing theorem for spaces of such distributions invariant under a Lie group is proved.About:
This article is published in Indagationes Mathematicae.The article was published on 1996-03-25 and is currently open access. It has received 49 citations till now. The article focuses on the topics: Submanifold & Lie group.read more
Citations
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Bessel models for GSp(4)
TL;DR: In this article, the authors used theta correspondence to analyze local and global Bessel models for GSp 4 proving a conjecture of Gross and Prasad which describes these models in terms of local epsilon factors in the local case, and non-vanishing of central critical L-value in the global case.
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The Plancherel decomposition for a reductive symmetric space II. Representation theory
TL;DR: In this article, the Plancherel decomposition for a reductive symmetric space in the sense of representation theory is obtained, starting from the Schwartz functions. But the Planchherel formula for Schwartz functions involves Eisenstein integrals obtained by a residual calculus, and these integrals are identified as matrix coefficients of the generalized principal series.
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Generalized Whittaker vectors for holomorphic and quaternionic representations
TL;DR: In this paper, the authors studied the decomposition of the space of Whittaker vectors under the action of the stabilizer of the corresponding character in a Levi factor of the Heisenberg parabolic subgroup.
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Local Shalika models and functoriality
TL;DR: In this paper, it was shown that an irreducible supercuspidal representation of GL2n is a local Langlands functorial transfer from SO2n+1(F) if and only if it has a nonzero Shalika model.
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Smooth transfer of Kloosterman integrals
TL;DR: In this paper, the existence of smooth transfer between absolute Kloosterman integrals and absolute quadratic integrals relative to a Quadratic Extension (QE) was established.
References
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Book
Théorie des distributions
TL;DR: The merite as discussed by the authors is a date marque une date dans le progres des mathematiques and de la physique en levant l'ambiguite que constituait le succes des methodes de calcul symbolique aupres des physiciens and l'inacceptabilite de leurs formules au regard de la rigueur mathematiques.
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Produits Tensoriels Topologiques Et Espaces Nucleaires
TL;DR: In this paper, Bourbaki implique l'accord avec les conditions générales d'utilisation (http://www.numdam.org/legal.php).
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Groupes Réductifs
Armand Borel,Jacques Tits +1 more
TL;DR: In this paper, the authors present conditions générales d'utilisation (http://www.numdam.org/conditions), i.e., Toute copie ou impression de ce fichier doit contenir la présente mention de copyright.