Results 31 to 40 of about 250 (142)
Boundary Values of (Slowly Increasing) Holomorphic Functions [PDF]
, 1994 In this paper, we investigate the conditions that (slowly increasing) holomorphic functions F_±(z) on C_± have the boundary values F_±(x±i0)=lim F_±(x±iε) in the sense of cl([a,b]) (or, cl(D)) and define the Sato (Fourier) hyperfunction f(x)=F_+(x+iO ...
1722 +5 more
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Quantum Field Theory in Terms of Fourier Hyperfunctions
Publications of the Research Institute for Mathematical Sciences, 1976 The Wightman axioms are extended to the quantum field theory in terms of Fourier hyperfunctions. The support concept of hyperfunctions is crucial for the formulation of locality and spectral condition. The complete equivalence is proved between modified Wightman axioms for relativistic theory and modified Osterwalder–Schrader axioms for Euclidean ...
Nagamachi, Shigeaki +1 more
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Schwartz kernel theorem for the Fourier hyperfunctions
Tsukuba Journal of Mathematics, 1995 The purpose of this paper is to give a direct proof of the Schwartz kernel theorem for the Fourier hyperfunctions. The Schwartz kernel theorem for the Fourier hyperfunctions means that with every Fourier hyperfunction \(K\) in \({\mathcal F}(\mathbb{R}^{n_1}\times \mathbb{R}^{n_2})\) we can associate a linear map \[ {\mathcal K}:{\mathcal F}(\mathbb{R}^
Chung, Soon-Yeon +2 more
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초함수공간에서의 상미분방정식의 연구와 직교다항식에의 응용 [PDF]
, 1991 학위논문(박사) - 한국과학기술원 : 수학과, 1991.8, [ [ii], 57 p. ]As a kind of generalized functions, hyperfunctions are, in some sense, more naturally adapted to the study of partial differential equations than L. Schwartz``s distributions.
김성수, Kim, Sung-Soo
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Asymptotische Hyperfunktionen, temperierte Hyperfunktionen und asymptotische Entwicklungen [PDF]
, 2005 Wir führen eine neue Unterklasse der Fourier Hyperfunktionen mit polynomialen Wachstumsbedingungen ein mit dem Ziel, asymptotische Entwicklungen von Hyperfunktionen studieren zu wollen, wie sie für gewisse Distributionenklassen bekannt sind.
Schmidt, Andreas U.
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Fourier transformation of Sato's hyperfunctions
Advances in Mathematics, 2005 A new generalized function space in which all Gelfand-Shilov classes $S^{\prime 0}_α$ ($α>1$) of analytic functionals are embedded is introduced. This space of {\it ultrafunctionals} does not possess a natural nontrivial topology and cannot be obtained via duality from any test function space.
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2019 ACVIM Forum Research Abstract Program
, 2019 Journal of Veterinary Internal Medicine, Volume 33, Issue 5, Page 2375-2547, September/October 2019.
wiley +1 more source
DENSENESS OF TEST FUNCTIONS IN THE SPACE OF EXTENDED FOURIER HYPERFUNCTIONS [PDF]
Bulletin of the Korean Mathematical Society, 2004 Let \(F_{(h,\nu)}\) be the space of differentiable functions \(\varphi(x)\) for which some sup-norm is finite. Then one has the continuous embedding \(F_{(h,\nu)}\subset F_{(h',\nu')}\), \(h\geq h'>0, \nu\geq\nu'\). Let \(\mathcal G=\bigcap_{h,\nu}F_{(h,\nu)}\) be endowed with the natural projective topology.
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Clinical Cutoff Scores for Acoustic Indices of Vocal Hyperfunction That Combine Relative Fundamental Frequency and Cepstral Peak Prominence. [PDF]
J Speech Lang Hear Res, 2022 Kapsner-Smith MR +9 more
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Support and kernel theorem for Fourier hyperfunctions
Osaka Journal of Mathematics, 2001 The existence and the characterization of the support of a Fourier hyperfunction \(u\) is not trivial; the support can contain or consists of infinite points. By definition, if \(u\) is a Fourier hyperfunction \((u\in Q' (\mathbb{D}^n)\), \(\mathbb{D}^n= \mathbb{R}^n\cup S^{n-1})\) and if it can be identified by an element of \(Q'(K)\), where \(K\) is ...
Nishimura, Takeshi, Nagamachi, Shigeaki
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