Integral transforms of functionals in L2(C0[0, T])

Byoung Soo Kim; David Skoug

doi:10.1216/rmjm/1181075469

Integral transforms of functionals in L₂(C₀[0, T])

Byoung Soo Kim, David Skoug

School of Natural Sciences

University of Nebraska-Lincoln

Research output: Contribution to journal › Article › peer-review

37 Scopus citations

Abstract

In this paper we give a necessary and sufficient condition that a functional F(x) in L₂(C₀[0, T]) has an integral transform F_α,βF(x) which also belongs to L₂(C₀[0, T]).

Original language	English
Pages (from-to)	1379-1393
Number of pages	15
Journal	Rocky Mountain Journal of Mathematics
Volume	33
Issue number	4
DOIs	https://doi.org/10.1216/rmjm/1181075469
State	Published - 2003

Keywords

Fourier-Hermite functionals
Fourier-Wiener transform
Integral transform
Wiener integral

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title = "Integral transforms of functionals in L2(C0[0, T])",

abstract = "In this paper we give a necessary and sufficient condition that a functional F(x) in L2(C0[0, T]) has an integral transform Fα,βF(x) which also belongs to L2(C0[0, T]).",

keywords = "Fourier-Hermite functionals, Fourier-Wiener transform, Integral transform, Wiener integral",

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AU - Skoug, David

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AB - In this paper we give a necessary and sufficient condition that a functional F(x) in L2(C0[0, T]) has an integral transform Fα,βF(x) which also belongs to L2(C0[0, T]).

KW - Fourier-Hermite functionals

KW - Fourier-Wiener transform

KW - Integral transform

KW - Wiener integral

UR - https://www.scopus.com/pages/publications/2442483885

U2 - 10.1216/rmjm/1181075469

DO - 10.1216/rmjm/1181075469

M3 - Article

AN - SCOPUS:2442483885

SN - 0035-7596

VL - 33

SP - 1379

EP - 1393

JO - Rocky Mountain Journal of Mathematics

JF - Rocky Mountain Journal of Mathematics

IS - 4

ER -

Integral transforms of functionals in L₂(C₀[0, T])

Abstract

Keywords

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