Integral transforms of square integrable functionals on Yeh-Wiener space

Byoung Soo Kim

doi:10.5666/KMJ.2009.49.1.155

Integral transforms of square integrable functionals on Yeh-Wiener space

Byoung Soo Kim

School of Natural Sciences

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

3 Scopus citations

Abstract

We give a necessary and sufficient condition that a square integrable funĉ α,β tional F (x) on Yeh-Wiener space has an integral transform F_α,β F (x) which is also square integrable. This extends the result by Kim and Skoug for functional F (x) in L₂(C₀[0,T]).

Original language	English
Pages (from-to)	155-166
Number of pages	12
Journal	Kyungpook Mathematical Journal
Volume	49
Issue number	1
DOIs	https://doi.org/10.5666/KMJ.2009.49.1.155
State	Published - Jul 2009

Keywords

Fourier-Hermite functional
Fourier-Wiener transform
Integral transform
Yeh-Wiener integral

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10.5666/KMJ.2009.49.1.155

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abstract = "We give a necessary and sufficient condition that a square integrable funĉ α,β tional F (x) on Yeh-Wiener space has an integral transform Fα,β F (x) which is also square integrable. This extends the result by Kim and Skoug for functional F (x) in L2(C0[0,T]).",

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AU - Kim, Byoung Soo

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N2 - We give a necessary and sufficient condition that a square integrable funĉ α,β tional F (x) on Yeh-Wiener space has an integral transform Fα,β F (x) which is also square integrable. This extends the result by Kim and Skoug for functional F (x) in L2(C0[0,T]).

AB - We give a necessary and sufficient condition that a square integrable funĉ α,β tional F (x) on Yeh-Wiener space has an integral transform Fα,β F (x) which is also square integrable. This extends the result by Kim and Skoug for functional F (x) in L2(C0[0,T]).

KW - Fourier-Hermite functional

KW - Fourier-Wiener transform

KW - Integral transform

KW - Yeh-Wiener integral

UR - https://www.scopus.com/pages/publications/77950451927

U2 - 10.5666/KMJ.2009.49.1.155

DO - 10.5666/KMJ.2009.49.1.155

M3 - Article

AN - SCOPUS:77950451927

SN - 1225-6951

VL - 49

SP - 155

EP - 166

JO - Kyungpook Mathematical Journal

JF - Kyungpook Mathematical Journal

IS - 1

ER -

Integral transforms of square integrable functionals on Yeh-Wiener space

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Keywords

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