Results 61 to 70 of about 600 (183)

Sato Hyperfunctions Valued in a Locally Convex Space [PDF]

open access: yes, 1999
In this article, we realize, by the duality method, Sato hyperfunctions valued in a locally convex topological vector space, which is not necessarily a Frechet space.
1722   +5 more
core  

Post-Widder inversion for Laplace transforms of hyperfunctions [PDF]

open access: yes, 2020
. We prove a Post-Widder inversion formula for the Laplace transform of hyperfunctions with compact support in [0, ∞). We observe that any hyperfunction with support in [0, ∞) has Laplace transforms which are analytic on the right half plane C+, and we ...
Christian Kunstmann
core  

On the theory of Radon transformations of hyperfunctions [PDF]

open access: yes, 1981
The purpose of this paper is to study hyperfunctions by using Radon transformations, which are differential forms defined on the cotangential sphere bundle with coefficients in holomorphic functions.
Kataoka Kiyomi
core   +1 more source

Classification and Types of Bases of All Ultrafunctions on Two-Element Set

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2016
This paper studies properties of ultrafunctions with respect of their inclusion in maximal clones. The number of maximal clones for all ultrafunctions of rank 2 is equal to 11 [V. Panteleev, 2009].
S. Zamaratskaya, V. Panteleev
doaj  

Applications of Hyperfunctions in Quantum Field Theory and Mathematical Physics [PDF]

open access: yes
Hyperfunctions are a type of generalized function introduced by Mikio Sato in [25] whichextend the concept of Schwartz distributions to infinite order. While Schwartz distributions are defined by their action on smooth test functions, hyperfunctions can ...
McCranie, Connor A.
core   +3 more sources

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