논문KCI 등재
Convolutions of white noise operators
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Motivated by the convolution product of white noise functionals,we introduce a new notion of convolution products of white noise operators. Then we study several interesting relations between the convolution products and the quantum generalized Fourier-Mehler transforms,and study a quantum-classical correspondence.
Abstract
Motivated by the convolution product of white noise functionals,we introduce a new notion of convolution products of white noise operators. Then we study several interesting relations between the convolution products and the quantum generalized Fourier-Mehler transforms,and study a quantum-classical correspondence.
참고문헌 (15)
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- H.-H. Kuo, "White Noise Distribution Theory" (1996), CRC Press
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관련 논문AI추천
Some relationships between the integral transform and the convolution product on abstract Wiener space이정은, 장승준영남수학회 · East Asian Mathematical Journal2015 · 제31권 제1호Relations among the first variation, the convolutions and the generalized Fourier-Gauss transforms박윤정, 임만규, 지운식대한수학회 · 대한수학회보2011 · 제48권 제2호FOURIER-FEYNMAN TRANSFORM AND CONVOLUTION OF FOURIER-TYPE FUNCTIONALS ON WIENER SPACE김병수영남수학회 · East Asian Mathematical Journal2013 · 제29권 제5호Basic formulas for the double integral transform of functionals on abstract Wiener space정현수대한수학회 · 대한수학회보2022 · 제59권 제5호CONDITIONAL FOURIER–FEYNMAN TRANSFORM AND CONDITIONAL CONVOLUTION PRODUCT ASSOCIATED WITH INFINITE DIMENSIONAL CONDITIONING FUNCTION심상길, 최재길대한수학회 · 대한수학회보2023 · 제60권 제5호Quantum extensions of Fourier-Gauss and Fourier-Mehler transforms지운식대한수학회 · 대한수학회지2008 · 제45권 제6호
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