Results 251 to 260 of about 5,306,168 (294)

Completion of Schwartz Convergence Vector Spaces

Mathematische Nachrichten, 1985
In Math. Nachr. 117, 37-49 (1984; Zbl 0568.46009), we have studied the category of \(L_ eL_ m\)-embedded Schwartz spaces, a category that contains all Hausdorff topological Schwartz spaces as well as all polar bornological Schwartz spaces in the sense of H. Hogbe-Nlend.
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On the Schwartz space of the basic affine space

, 1998
. Let G be the group of points of a split reductive algebraic group G over a local field k and let X = G / U where U is the group of k-points of a maximal unipotent subgroup of G. In this paper we construct a certain canonical G-invariant space ${\cal S}
A. Braverman, D. Kazhdan
semanticscholar   +1 more source

Berezin-Toeplitz Quantization on the Schwartz Space of Bounded Symmetric Domains

Journal of Lie theory, 2005
Borthwick, Lesniewski and Upmeier [“Nonperturbative deformation quantization of Cartan domains,” J. Funct. Anal. 113 (1993), 153–176] proved that on any bounded symmetric domain (Hermitian symmetric space of non-compact type), for any compactly supported
M. Engliš
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Image of the Schwartz space under spectral projection

, 2007
Let X = G/K be a Riemannian symmetric space of non compact type and rank-one. The spectral projection Pλf of a function f on X can be written Pλf = f * φλ where φλ is the elementary spherical function corresponding to the complex parameter λ.
Joydip Jana
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On the Schwartz space isomorphism theorem for rank one symmetric space

, 2007
In this paper we give a simpler proof of the Lp-Schwartz space isomorphism (0 < p ≤ 2) under the Fourier transform for the class of functions of left δ-type on a Riemannian symmetric space of rank one.
Joydip Jana, Rudra P. Sarkar
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Local Convergence and Schwartz Spaces

1981
Local convergence of a sequence in an lcs E means that the sequence is contained and convergent in the normed space E B associated with some disk B in E. In 10.1, we are going to study a corresponding concept based on an arbitrary homology. 10.2 is devoted to a corresponding notion of completeness, and in 10.3 we deal with some pecularities occurring ...
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Schwartz Spaces and Zeta Integrals

2018
Throughout this chapter, we fix a local field F of characteristic zero, a split connected reductive F-group G, an affine spherical embedding X+↪X satisfying Axiom 2.4.3, relative invariants fi ∈ F[X] of eigencharacter ωi (Definition 2.4.2) for \(1 \leq i \leq r := \operatorname {rk}(\varLambda )\).
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Canonical Schwartz spaces and generalized operators

Journal of Mathematical Physics, 1979
For a C∞ multiplier ω, on Rn we define the concepts of differentiability and codifferentiability in the Von Neumann algebra generated by the regular ω representation of Rn. Analogs of the classical Schwartz space and its dual are formulated and the case where ω is fully antisymmetric is studied.
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Cohomologies of spaces of Schwartz distributions

Theoretical and Mathematical Physics, 2012
We calculate cohomologies of linear spaces of distributions regarded as linear functionals over the corresponding test-function algebras.
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Principal Submodules in the Module of Entire Functions, Which is Dual to the Schwarz Space, and Weak Spectral Synthesis in the Schwartz Space

Journal of Mathematical Sciences, 2019
N. Abuzyarova
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