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FOURIER-TYPE FUNCTIONALS ON WIENER SPACE

정현수|Vu Kim Tuan
대한수학회 (The Korean Mathematical Society)|2012.05|대한수학회보 (Bulletin of the KMS)|제49권 제3호|pp. 609-619

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참고문헌

키워드

Fourier transformWiener spaceintegral transformFourier-type functionalPaley-Wiener theorem
주제분류수학

초록

In this paper we define the Fourier-type functionals via the Fourier transform on Wiener space. We investigate some properties of the Fourier-type functionals. Finally, we establish integral transform of the Fourier-type functionals which also can be expressed by other Fourier-type functionals.

Abstract

In this paper we define the Fourier-type functionals via the Fourier transform on Wiener space. We investigate some properties of the Fourier-type functionals. Finally, we establish integral transform of the Fourier-type functionals which also can be expressed by other Fourier-type functionals.

참고문헌 (11)

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  5. ), "Rocky Mountain J. Math", 2003, 1379~1393
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  7. R. E. A. C. Paley, "Notes on random functions", Math. Z, 37(1), pp.647~688 (1933)
  8. C. Park, "A generalized Paley-Wiener-Zygmund integrals and applications", Proc. Amer. Math. Soc, 23, pp.388~400 (1969)
  9. C. Park, "A note on Paley-Wiener-Zygmund stochastic integrals", Proc. Amer. Math. Soc, 103(2), pp.591~601 (1988)
  10. E. M. Stein, "Introduction to Fourier Analysis on Euclidean Spaces" (1971), Prince- ton Univ. Press
  11. V. K. Tuan, "Paley-Wiener type theorems", Fract. Calc. Appl. Anal, 2(2), pp.135~143 (1999)

관련 논문AI추천

FOURIER-FEYNMAN TRANSFORM AND CONVOLUTION OF FOURIER-TYPE FUNCTIONALS ON WIENER SPACE김병수영남수학회 · East Asian Mathematical Journal2013 · 제29권 제5호Generalized Fourier-Feynman transform and sequential transforms on function space장승준, 최재길대한수학회 · 대한수학회지2012 · 제49권 제5호Generalized analytic Fourier-Feynman transforms and convolutions on a Fresnel type class이일용, 장승준대한수학회 · 대한수학회보2011 · 제48권 제2호Some relationships between the integral transform and the convolution product on abstract Wiener space이정은, 장승준영남수학회 · East Asian Mathematical Journal2015 · 제31권 제1호A New Analytic Fourier-Feynman Transform w.r.t. Subordinate Brownian MotionMohamed El Koufi한국수학교육학회 · 이론수학과 교직수학2021 · 제28권 제2호A translation theorem for the generalized Fourier--Feynman transform associated with Gaussian process on function space장승준, 최재길, Ae Young Ko대한수학회 · 대한수학회지2016 · 제53권 제5호

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