Results 11 to 20 of about 600 (183)
Asymptotic hyperfunctions, tempered hyperfunctions, and asymptotic expansions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2005 We introduce new subclasses of Fourier hyperfunctions of mixed type, satisfying polynomial growth conditions at infinity, and develop their sheaf and duality theory. We use Fourier transformation and duality to examine relations of these asymptotic and tempered hyperfunctions to known classes of test functions and distributions, especially the Gel′fand‐
Andreas U. Schmidt
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Regularization of Hyperfunctions [PDF]
Zeitschrift für Analysis und ihre Anwendungen, 2006 We show that there are no continuous regularization procedures for the extension of hyperfunctions. We also show that there is a continuous projection operator from the space of hyperfunctions with support in a given compact set onto the subspace of hyperfunctions with support on a given \textsl{closed} subset if and only if the subset is a countable ...
Estrada, Ricardo
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Superoscillating Sequences and Hyperfunctions [PDF]
Publications of the Research Institute for Mathematical Sciences, 2019 In this paper we discuss the approximation of hyperfunctions in one variable using sequences of low frequency hyperfunctions. In particular, we show that this superoscillation property holds for compactly supported hyperfunctions. Finally, we show that the approximation is also possible for tempered hyperfunctions.
Colombo F. +3 more
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A calculus approach to hyperfunctions III [PDF]
Nagoya Mathematical Journal, 1987 In the previous papers, [18] and [19], we have given some basis of a calculus approach to hyperfunctions. We have taken hyperfunctions with the compact support as initial values of the solutions of the heat equation. More precisely, letA′[K]be the space of analytic functionals supported by a compact subsetKofRnand letE(x, t)be then-dimensional heat ...
Tadato Matsuzawa
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On the Stability of Trigonometric Functional Equations in Distributions and Hyperfunctions [PDF]
Abstract and Applied Analysis, 2013 We consider the Hyers-Ulam stability for a class of trigonometric functional equations in the spaces of generalized functions such as Schwartz distributions and Gelfand hyperfunctions.
Jaeyoung Chung, Jeongwook Chang
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The Closure Operator with the Equality Predicate Branching on the Set of Hyperfunctions on Two-Element Set [PDF]
Известия Иркутского государственного университета: Серия "Математика", 2014 In this work we consider the closure operator with the equality predicate branching (E-operator) on the set of hyperfunctions on two-element set. With respect to this operator closed classes of hyperfunctions are generated.
V.I. Panteleev, L.V. Ryabets
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A Characterization for Fourier Hyperfunctions
Publications of the Research Institute for Mathematical Sciences, 1994 The space of test functions for Fourier hyperfunctions is characterized by two conditions \sup |φ (x)| \exp k|x|<∞ and \sup|\hat φ(ξ) | \exp h|ξ|<∞ for some
Chung, Jaeyoung +2 more
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Nash implementation via hyperfunctions [PDF]
, 2006 Hyperfunctions are social choice rules which assign sets of alternatives to preference profiles over sets. Therefore, they are more general objects compared to standard (social choice) correspondences.
Sanver, M. Remzi, Ozkal-Sanver, Ipek
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Hyperfunctions of one Variable [PDF]
, 2022 Práce pojednává o základních aspektech teorie hyperfunkcí jedné reálné proměnné. Jejím hlavním cílem je uchopení této problematiky tak, aby byla přístupná širokému okruhu čtenářů. Postupně prozkoumáme různé operace na hyperfunkcích.
Josef Sobotka
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Stability of a Quadratic Functional Equation in the Spaces of Generalized Functions
Journal of Inequalities and Applications, 2008 Making use of the pullbacks, we reformulate the following quadratic functional equation: in the spaces of generalized functions. Also, using the fundamental solution of the heat equation, we obtain the general solution and prove the Hyers-Ulam ...
Lee Young-Su
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