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Shifting and modulation for the convolution product of functionals in a generalized Fresnel class

박연희|김병수
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2018.09|한국수학논문집 (Korean Journal of Mathematics)|제26권 제3호|pp. 387-403

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참고문헌

키워드

modulationanalytic Feynman integralconvolution productFourier-Feynman transformgeneralized Fresnel classtime shiftingfrequency shifting
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초록

Shifting, scaling and modulation proprerties for the convolution product of the Fourier-Feynman transform of functionals in a generalized Fresnel class ${\mathcal F}_{A_1,A_2}$ are given. These properties help us to obtain convolution product of new functionals from the convolution product of old functionals which we know their convolution product.

Abstract

Shifting, scaling and modulation proprerties for the convolution product of the Fourier-Feynman transform of functionals in a generalized Fresnel class ${\mathcal F}_{A_1,A_2}$ are given. These properties help us to obtain convolution product of new functionals from the convolution product of old functionals which we know their convolution product.

참고문헌 (15)

  1. J.M. Ahn, "Fourier-Feynman transform, convolution and first variation", Acta Math. Hungar., 100, pp.215~235 (2003)[DOI]
  2. S. Albeverio, "Mathematical theory of Feynman path integrals", Lecture Notes in Math, pp.523~ (1976)
  3. R.H. Cameron, "Some Banach algebras of analytic Feynman integrable functionals, in Analytic Functions (Kozubnik, 1979)", Lecture Notes in Math, 798, pp.18~67 (1980)
  4. K.S. Chang, "Analytic Fourier-Feynman transform and convolution of functionals on abstract Wiener space", Rocky Mountain J. Math., 30, pp.823~842 (2000)[DOI]
  5. T. Huffman, "Analytic Fourier-Feynman transforms and convolution", Trans. Amer. Math. Soc., 347, pp.661~673 (1995)[DOI]
  6. T. Huffman, "Convolutions and Fourier-Feynman transforms of functionals involving multiple integrals", Michigan Math. J., 43, pp.247~261 (1996)[DOI]
  7. G.W. Johnson, "Scale-invariant measurability in Wiener space", Pacific J. Math., 83, pp.157~176 (1979)[DOI]
  8. G. Kallianpur, "Stochastic Analysis and Application" (1984), Marcel-Dekker Inc.
  9. G. Kallianpur, "Analytic and sequential Feynman integrals on abstract Wiener and Hilbert spaces and a Cameron-Martin formula", Ann. Inst. Henri. Poincare, 21, pp.323~361 (1985)
  10. B.S. Kim, "Shifting and variational properties for Fourier-Feynman transform and convolution", J. Funct. Space., 2015, pp.1~9 (2015)
  11. 김병수, "Shifting and modulation for Fourier-Feynman transform of functionals in a generalized Fresnel class", 한국수학논문집, 25(3), pp.335~347 (2017), 강원경기수학회
  12. 김병수, "ANALYTIC FOURIER-FEYNMAN TRANSFORM AND CONVOLUTION OF FUNCTIONALS IN A GENERALIZED FRESNEL CLASS", 충청수학회지, 22(3), pp.481~495 (2009), 충청수학회
  13. P.V. O'Neil, "Advanced engineering mathematics" (2003), Thomson
  14. I. Yoo, "Convolution and the Fourier-Wiener transform on abstract Wiener space", Rocky Mountain J. Math., 25, pp.1577~1587 (1995)[DOI]
  15. 유일, "Fourier-Feynman transforms for functionals in a generalized Fresnel class", 대한수학회논문집, 22(1), pp.75~90 (2007), 대한수학회

관련 논문AI추천

Shifting and modulation for Fourier-Feynman transform of functionals in a generalized Fresnel class김병수강원경기수학회 · 한국수학논문집2017 · 제25권 제3호Generalized analytic Fourier-Feynman transforms and convolutions on a Fresnel type class이일용, 장승준대한수학회 · 대한수학회보2011 · 제48권 제2호Fourier-Feynman transforms for functionals in a generalized Fresnel class유일, 김병수대한수학회 · 대한수학회논문집2007 · 제22권 제1호FOURIER-FEYNMAN TRANSFORM AND CONVOLUTION OF FOURIER-TYPE FUNCTIONALS ON WIENER SPACE김병수영남수학회 · East Asian Mathematical Journal2013 · 제29권 제5호Change of scale formulas for function space integrals related with Fourier-Feynman transform and convolution on $C_{a,b}[0,T]$유일, 김병수, 김봉진강원경기수학회 · 한국수학논문집2015 · 제23권 제1호Generalized sequential convolution product for the generalized sequential Fourier-Feynman transform유일, 김병수강원경기수학회 · 한국수학논문집2021 · 제29권 제2호

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