CONDITIONAL GENERALIZED FOURIER-FEYNMAN TRANSFORM AND CONDITIONAL CONVOLUTION PRODUCT ON A BANACH ALGEBRA | Zendy

Seung-Jun Chang | Zendy; Jae-Gil Choi | Zendy

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CONDITIONAL GENERALIZED FOURIER-FEYNMAN TRANSFORM AND CONDITIONAL CONVOLUTION PRODUCT ON A BANACH ALGEBRA

Author(s) -

Seung-Jun Chang,

Jae-Gil Choi

Publication year - 2004

Publication title -

bulletin of the korean mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.295

H-Index - 27

eISSN - 2234-3016

pISSN - 1015-8634

DOI - 10.4134/bkms.2004.41.1.073

Subject(s) - mathematics , convolution theorem , convolution (computer science) , banach algebra , fourier transform , feynman diagram , convolution power , feynman integral , generalized function , pure mathematics , conditional expectation , circular convolution , mathematical analysis , fractional fourier transform , algebra over a field , banach space , fourier analysis , mathematical physics , statistics , machine learning , artificial neural network , computer science

In (10), Chang and Skoug used a generalized Brownian motion process to deflne a generalized analytic Feynman integral and a generalized analytic Fourier-Feynman transform. In this pa- per we deflne the conditional generalized Fourier-Feynman trans- form and conditional generalized convolution product on function space. We then establish some relationships between the condi- tional generalized Fourier-Feynman transform and conditional gen- eralized convolution product for functionals on function space that belonging to a Banach algebra.

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