Results 1 to 10 of about 60 (57)

Hyperfunctions and analytic functionals [PDF]

, 1993
This author's talk at the Dutch Mathematical Congress of 1993 gives a nice and broad survey on generalized functions, hyperfunctions, analytic functionals and Fourier hyperfunctions.
Zharinov, Victor, Zharinov, V.V. (Victor)   +1 more
openaire   +3 more sources

Laplace transformation of Fourier hyperfunctions and related classes of analytic functionals

Theoretical and Mathematical Physics, 1977
V. V. Zharinov
openaire   +4 more sources

On the non-triviality of certain spaces of analytic functions. Hyperfunctions and ultrahyperfunctions of fast growth [PDF]

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2017
39 ...
Andreas Debrouwere, Jasson Vindas
openaire   +4 more sources

Product of Hyperfunctions with Disjoint Support [PDF]

, 2008
We prove that if two hyperfunctions on the unit circle have disjoint support, then the convolution of their Fourier coefficients multiplied with a weight is zero when the weight goes to 1.
Eikrem, Kjersti Solberg
core   +1 more source

Lorentz-Covariant Ultradistributions, Hyperfunctions, and Analytic Functionals

Theoretical and Mathematical Physics, 2001
We generalize the theory of Lorentz-covariant distributions to broader classes of functionals including ultradistributions, hyperfunctions, and analytic functionals with a tempered growth. We prove that Lorentz-covariant functionals with essential singularities can be decomposed into polynomial covariants and establish the possibility of the invariant ...
openaire   +2 more sources

Fourier transformation of Sato's hyperfunctions

, 2005
A new generalized function space in which all Gelfand–Shilov classes Sα′0 (α>1) of analytic functionals are embedded is introduced. This space of ultrafunctionals does not possess a natural nontrivial topology and cannot be obtained via duality from any ...
Smirnov, A.G.
core   +1 more source

On localization properties of Fourier transforms of hyperfunctions

, 2009
In [A.G. Smirnov, Fourier transformation of Sato's hyperfunctions, Adv. Math. 196 (2005) 310–345] the author introduced a new generalized function space U(Rk) which can be naturally interpreted as the Fourier transform of the space of Sato's ...
Smirnov, A.G.
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Hyperfunction Fundamental Solutions of Surjective Convolution Operators on Real Analytic Functions

Journal of Functional Analysis, 1995
Let \(\mu\in A(\mathbb{R})\). The author characterizes the surjectivity of the convolution operator \(T_\mu:= \mu*\) on real analytic functions by two equivalent conditions: (1) \(T_\mu\) admits hyperfunctional elementary solutions \(E_+\) (and \(E_-\)), which are analytic on an angular neighbourhood of \(]- \infty, C[\) (respectively, \([- C, \infty[\)
openaire   +1 more source

Hyperfunctions on the Euclidean space and on the N-dimensional torus

, 2017
Apresentamos uma construção para a teoria das hiperfunções no espaço euclidiano seguindo a abordagem de André Martineau baseada em funcionais analíticos e aplicando um teorema de dualidade de Jean-Pierre Serre.
Silva Junior, Antonio Victor da
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ON ANALYTIC FUNCTIONALS AND HYPERFUNCTIONS

, 1989
We study operations on analytic functionals and show the localization theorem for hyperfunctions in R^(n) can be extended to a real analytic manifold.;이 논문에서는 analytic functional 위에서 정의되는 작용소(operation)들에 관해 공부하고 R^(□)에서 성립하는 hyperfunction의 국소화정리가 real ...
김인숙
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