Results 111 to 120 of about 250 (142)

Schwartz’ Kernel Theorem for Fourier Hyperfunctions

2000
An appropriate general version of the kernel theorem of L. Schwartz is formulated for Fourier hyperfunctions and a direct functional analytic proof is presented. This talk is based on a joint paper [2] with S. Nagamachi.
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Vector-valued Fourier hyperfunctions [PDF]

, 2014
This work is dedicated to the development of the theory of Fourier hyperfunctions in one variable with values in a non-necessarily metrizable locally convex space E. Moreover, necessary and sufficient conditions are described such that a reasonable theory of E-valued Fourier hyperfunctions exists.
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Generalized Fourier expansion in kernels of convolution operators on Fourier hyperfunctions

Analysis, 2007
We prove that the kernels of surjective convolution operators on Fourier hyperfunctions (and on Fourier ultra-hyperfunctions) admit a basis of exponential solutions. The corresponding coefficient spaces are explicitly determined.
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THE SPACE OF FOURIER HYPERFUNCTIONS AS AN INDUCTIVE LIMIT OF HILBERT SPACES

Communications of the Korean Mathematical Society, 2004
Summary: We research properties of the space of measurable fun-ctions square integrable with weight \(\exp(2\nu|x|)\), and those of the space of Fourier hyperfunctions. Also we show that the several embedding theorems hold true, and that the Fourier-Lapace operator is an isomorphism of the space of strongly decreasing Fourier hyperfunctions onto the ...
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Microlocalization within Some Classes of Fourier Hyperfunctions

2006
New presheaves of hyperfunction spaces with the growth estimates with respect to |x| → ∞ and y → 0 in a cone Γ are introduced. Then it is shown that the Laplace transform is a bijective mapping of the space of tempered ultradistributions on R n of non-quasianalytic class onto the corresponding hyperfunction space of sections over D n, the ...
Richard D. Carmichael, Atsuhiko Eida, Stevan Pilipović   +2 more
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Fourier Transformation of Power-Type Hyperfunctions

1992
In the preceding chapter, we explained the basic facts about the Fourier transformation of hyperfunctions and showed methods of calculating Fourier transforms of some simple hyperfunctions. In this chapter, we shall be concerned with Fourier transforms of the power-type hyperfunctions ∣x∣α (log ∣x∣)n H(x), ∣x∣α(log ∣x∣)n, ∣x∣α(log ∣x∣)n sgn x (α ...
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Anterior Hyperfunction by Mandibular Anterior Teeth: A Narrative Review

Healthcare (Switzerland), 2023
Yoichirô Ogino, Yasunori Ayukawa, Ayukawa Yasunori   +2 more
exaly  

The Relationship Between Pitch Discrimination and Fundamental Frequency Variation: Effects of Singing Status and Vocal Hyperfunction

Journal of Voice, 2023
Allison S Aaron, Defne Abur, Jacob Pieter Noordzij   +2 more
exaly  

Asymptotic Fourier and Laplace transforms for vector-valued hyperfunctions

Functiones Et Approximatio, Commentarii Mathematici, 2021
Karsten Kruse
exaly  

Hyperfunction semigroups

Siberian Mathematical Journal, 2015
M Kostic, Stevan Pilipovic, Daniel Velinov   +2 more
exaly