Conditional Fourier-Feynman transform given infinite dimensional conditioning function on abstract Wiener space
We study a conditional Fourier-Feynman transform (CFFT) of functionals on an abstract Wiener space ( H , B , v ). An infinite dimensional conditioning function is used to define the CFFT. To do this, we first present a short survey of the conditional Wiener integral concerning the topic of this pape...
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| Vydané v: | Czechoslovak mathematical journal Ročník 73; číslo 3; s. 849 - 868 |
|---|---|
| Hlavní autori: | , |
| Médium: | Journal Article |
| Jazyk: | English |
| Vydavateľské údaje: |
Berlin/Heidelberg
Springer Berlin Heidelberg
01.10.2023
Springer Nature B.V |
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| ISSN: | 0011-4642, 1572-9141 |
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| Abstract | We study a conditional Fourier-Feynman transform (CFFT) of functionals on an abstract Wiener space (
H
,
B
,
v
). An infinite dimensional conditioning function is used to define the CFFT. To do this, we first present a short survey of the conditional Wiener integral concerning the topic of this paper. We then establish evaluation formulas for the conditional Wiener integral on the abstract Wiener space
B
. Using the evaluation formula, we next provide explicit formulas for CFFTs of functionals in the Kallianpur and Bromley Fresnel class
ℱ
(
B
) and we finally investigate some Fubini theorems involving CFFT. |
|---|---|
| AbstractList | We study a conditional Fourier-Feynman transform (CFFT) of functionals on an abstract Wiener space (
H
,
B
,
v
). An infinite dimensional conditioning function is used to define the CFFT. To do this, we first present a short survey of the conditional Wiener integral concerning the topic of this paper. We then establish evaluation formulas for the conditional Wiener integral on the abstract Wiener space
B
. Using the evaluation formula, we next provide explicit formulas for CFFTs of functionals in the Kallianpur and Bromley Fresnel class
ℱ
(
B
) and we finally investigate some Fubini theorems involving CFFT. We study a conditional Fourier-Feynman transform (CFFT) of functionals on an abstract Wiener space (H, B, v). An infinite dimensional conditioning function is used to define the CFFT. To do this, we first present a short survey of the conditional Wiener integral concerning the topic of this paper. We then establish evaluation formulas for the conditional Wiener integral on the abstract Wiener space B. Using the evaluation formula, we next provide explicit formulas for CFFTs of functionals in the Kallianpur and Bromley Fresnel class ℱ(B) and we finally investigate some Fubini theorems involving CFFT. |
| Author | Choi, Jae Gil Shim, Sang Kil |
| Author_xml | – sequence: 1 givenname: Jae Gil surname: Choi fullname: Choi, Jae Gil email: jgchoi@dabkook.ac.kr organization: School of General Education, Dankook University – sequence: 2 givenname: Sang Kil surname: Shim fullname: Shim, Sang Kil organization: Department of Mathematics, Dankook University |
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| Cites_doi | 10.1007/BF02844368 10.1023/A:1025041525913 10.1216/rmjm/1022009276 10.2478/s11533-010-0019-2 10.1090/S0002-9939-1988-0943089-8 10.1112/plms/s3-27.2.345 10.2140/pjm.1988.135.381 10.1016/0022-1236(67)90030-4 10.2140/pjm.1974.52.631 10.1216/rmjm/1181071896 10.1017/S0027763000017189 10.1016/0022-247X(73)90142-X 10.1216/rmjm/1181071725 10.1090/S0002-9947-1995-1242088-7 10.2140/pjm.1975.59.623 10.1090/S0002-9947-1949-0027960-X 10.2140/pjm.1995.167.293 10.1307/mmj/1029004758 10.1307/mmj/1029001617 10.1155/S0161171297000045 10.1080/07362998908809173 10.1216/jiea/1181075633 10.2140/pjm.1983.105.321 10.1307/mmj/1029005461 10.1307/mmj/1029002166 10.1016/0022-247X(75)90017-7 10.1007/BF01474606 10.1007/978-1-4614-6956-8 10.1080/10652460008819285 10.1137/0520064 10.1216/rmjm/1181069848 10.2140/pjm.1987.130.27 10.1090/S0002-9939-1969-0245752-1 |
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| References | Chung, Kang (CR16) 1989; 26 Ahn, Chang, Kim, Yoo (CR1) 2003; 100 Park, Skoug, Storvick (CR46) 1998; 47 Cameron, Storvick (CR5) 1970 Yeh (CR52) 1974; 52 Kac (CR33) 1949; 65 Johnson, Skoug (CR30) 1976; 60 Huffman, Park, Skoug (CR26) 1997; 27 Kuo (CR38) 2006 Kim, Yoo, Cho (CR36) 2010; 8 Huffman, Park, Skoug (CR25) 1996; 43 Paley, Wiener, Zygmund (CR39) 1933; 37 Park, Skoug (CR42) 1988; 135 Gross (CR23) 1967; 1 Brue (CR3) 1972 Chung, Skoug (CR19) 1989; 20 Cameron, Storvick (CR8) 1976; 23 Park, Skoug (CR44) 1995; 167 Huffman, Park, Skoug (CR27) 1997; 20 Yeh (CR53) 1975; 59 Tucker (CR50) 1967 Kuo (CR37) 1975 Park, Skoug (CR41) 1988; 103 Chang, Park, Skoug (CR12) 2000; 30 Chung, Kang (CR15) 1989; 7 Huffman, Park, Skoug (CR24) 1995; 347 Huffman, Skoug, Storvick (CR28) 2001; 38 Chung, Kang (CR14) 1988; 25 Doob (CR21) 1953 Johnson, Skoug (CR29) 1975; 50 Cameron, Storvick (CR7) 1973; 42 Chang, Song, Yoo (CR11) 2001; 38 Chung (CR13) 1987; 130 Breiman (CR2) 1968 Chang, Chang (CR9) 1984; 21 Chung, Kang (CR17) 1990; 27 Johnson, Skoug (CR32) 1983; 105 Cameron, Storvick (CR4) 1968; 18 Johnson, Skoug (CR31) 1979; 26 Gross (CR22) 1967 Kallianpur, Bromley (CR34) 1984 Chung, Park, Skoug (CR18) 1993; 40 Park, Skoug (CR45) 2001; 38 Skoug, Storvick (CR49) 2004; 34 Cameron, Storvick (CR6) 1973; 27 Park, Skoug, Storvick (CR47) 1998; 28 Park (CR40) 1969; 23 Kallianpur, Kannan, Karandikar (CR35) 1985; 21 Rudin (CR48) 1987 Yeh (CR51) 1973 Chang, Kim, Yoo (CR10) 2000; 10 Cohn (CR20) 2013 Park, Skoug (CR43) 1991; 3 |
| References_xml | – volume: 47 start-page: 277 year: 1998 end-page: 292 ident: CR46 article-title: Fourier-Feynman transforms and the first variation publication-title: Rend. Circ. Mat. Palermo, II. Ser. doi: 10.1007/BF02844368 – volume: 25 start-page: 37 year: 1988 end-page: 52 ident: CR14 article-title: Conditional Wiener integrals and an integral equation publication-title: J. Korean Math. Soc. – volume: 100 start-page: 215 year: 2003 end-page: 235 ident: CR1 article-title: Fourier-Feynman transform, convolution product and first variation publication-title: Acta. Math. Hung. doi: 10.1023/A:1025041525913 – volume: 30 start-page: 477 year: 2000 end-page: 496 ident: CR12 article-title: Translation theorems for Fourier-Feynman transforms and conditional Fourier-Feynman transforms publication-title: Rocky Mt. J. Math. doi: 10.1216/rmjm/1022009276 – volume: 8 start-page: 616 year: 2010 end-page: 632 ident: CR36 article-title: Fourier-Feynman transforms of unbounded functionals on abstract Wiener space publication-title: Cent. Eur. J. Math. doi: 10.2478/s11533-010-0019-2 – volume: 103 start-page: 591 year: 1988 end-page: 601 ident: CR41 article-title: A note on Paley-Wiener-Zygmund stochastic integrals publication-title: Proc. Am. Math. Soc. doi: 10.1090/S0002-9939-1988-0943089-8 – volume: 27 start-page: 345 year: 1973 end-page: 360 ident: CR6 article-title: An operator-valued function-space integral applied to integrals of functions of class publication-title: Proc. Lond. Math. Soc., Ser. III doi: 10.1112/plms/s3-27.2.345 – start-page: 217 year: 1984 end-page: 267 ident: CR34 publication-title: Generalized Feynman integrals using analytic continuation in several complex variables – volume: 135 start-page: 381 year: 1988 end-page: 394 ident: CR42 article-title: A simple formula for conditional Wiener integrals with applications publication-title: Pac. J. Math. doi: 10.2140/pjm.1988.135.381 – volume: 1 start-page: 123 year: 1967 end-page: 181 ident: CR23 article-title: Potential theory on Hilbert space publication-title: J. Funct. Anal. doi: 10.1016/0022-1236(67)90030-4 – volume: 52 start-page: 631 year: 1974 end-page: 640 ident: CR52 article-title: Inversion of conditional expectations publication-title: Pac. J. Math. doi: 10.2140/pjm.1974.52.631 – year: 1953 ident: CR21 publication-title: Stochastic Processes – volume: 27 start-page: 827 year: 1997 end-page: 841 ident: CR26 article-title: Convolution and Fourier-Feynman transforms publication-title: Rocky Mt. J. Math. doi: 10.1216/rmjm/1181071896 – year: 1967 ident: CR50 publication-title: A Graduate Course in Probability – year: 2006 ident: CR38 publication-title: Introduction to Stochastic Integration – volume: 21 start-page: 99 year: 1984 end-page: 106 ident: CR9 article-title: Evaluation of some conditional Wiener integrals publication-title: Bull. Korean Math. Soc. – year: 1987 ident: CR48 publication-title: Real and Complex Analysis – start-page: 175 year: 1970 end-page: 193 ident: CR5 publication-title: An integral equation related to the Schrödinger equation with an application to integration in function space – volume: 60 start-page: 93 year: 1976 end-page: 137 ident: CR30 article-title: The Cameron-Storvick function space integral: An ( , ,) theory publication-title: Nagoya Math. J. doi: 10.1017/S0027763000017189 – volume: 42 start-page: 330 year: 1973 end-page: 372 ident: CR7 article-title: An operator valued function space integral applied to integrals of functions of class publication-title: J. Math. Anal. Appl. doi: 10.1016/0022-247X(73)90142-X – year: 1968 ident: CR2 publication-title: Probability – volume: 18 start-page: 517 year: 1968 end-page: 552 ident: CR4 article-title: An operator valued function space integral and a related integral equation publication-title: J. Math. Mech. – volume: 21 start-page: 323 year: 1985 end-page: 361 ident: CR35 article-title: Analytic and sequential Feynman integrals on abstract Wiener and Hilbert spaces, and a Cameron-Martin formula publication-title: Ann. Inst. Henri Poincaré, Probab. Stat. – volume: 28 start-page: 1447 year: 1998 end-page: 1468 ident: CR47 article-title: Relationships among the first variation, the convolution product, and the Fourier-Feynman transform publication-title: Rocky Mt. J. Math. doi: 10.1216/rmjm/1181071725 – volume: 38 start-page: 61 year: 2001 end-page: 76 ident: CR45 article-title: Conditional Fourier-Feynman transforms and conditional convolution products publication-title: J. Korean Math. Soc. – volume: 347 start-page: 661 year: 1995 end-page: 673 ident: CR24 article-title: Analytic Fourier-Feynman transforms and convolution publication-title: Trans. Am. Math. Soc. doi: 10.1090/S0002-9947-1995-1242088-7 – volume: 59 start-page: 623 year: 1975 end-page: 638 ident: CR53 article-title: Inversion of conditional Wiener integrals publication-title: Pac. J. Math. doi: 10.2140/pjm.1975.59.623 – volume: 65 start-page: 1 year: 1949 end-page: 13 ident: CR33 article-title: On distribution of certain Wiener integrals publication-title: Trans. Am. Math. Soc. doi: 10.1090/S0002-9947-1949-0027960-X – volume: 167 start-page: 293 year: 1995 end-page: 312 ident: CR44 article-title: Conditional Wiener integrals. II publication-title: Pac. J. Math. doi: 10.2140/pjm.1995.167.293 – year: 1973 ident: CR51 publication-title: Stochastic Processes and the Wiener Integral – volume: 40 start-page: 377 year: 1993 end-page: 391 ident: CR18 article-title: Generalized Feynman integrals via conditional Feynman integrals publication-title: Mich. Math. J. doi: 10.1307/mmj/1029004758 – volume: 23 start-page: 1 year: 1976 end-page: 30 ident: CR8 article-title: An analytic Fourier-Feynman transform publication-title: Mich. Math. J. doi: 10.1307/mmj/1029001617 – volume: 20 start-page: 19 year: 1997 end-page: 32 ident: CR27 article-title: Generalized transforms and convolutions publication-title: Int. J. Math. Math. Sci. doi: 10.1155/S0161171297000045 – volume: 7 start-page: 125 year: 1989 end-page: 144 ident: CR15 article-title: Evaluation formulas for conditional abstract Wiener integrals publication-title: Stochastic Anal. Appl. doi: 10.1080/07362998908809173 – volume: 38 start-page: 485 year: 2001 end-page: 501 ident: CR11 article-title: Analytic Fourier-Feynman transform and first variation on abstract Wiener space publication-title: J. Korean Math. Soc. – volume: 38 start-page: 421 year: 2001 end-page: 435 ident: CR28 article-title: Integration formulas involving Fourier-Feynman transforms via a Fubini theorem publication-title: J. Korean Math. Soc. – volume: 26 start-page: 151 year: 1989 end-page: 158 ident: CR16 article-title: Evaluation of some conditional abstract Wiener integrals publication-title: Bull. Korean Math. Soc. – volume: 3 start-page: 411 year: 1991 end-page: 427 ident: CR43 article-title: A Kac-Feynman integral equation for conditional Wiener integrals publication-title: J. Integral Equations Appl. doi: 10.1216/jiea/1181075633 – volume: 105 start-page: 321 year: 1983 end-page: 358 ident: CR32 article-title: Notes on the Feynman integral. III: Schrödinger equation publication-title: Pac. J. Math. doi: 10.2140/pjm.1983.105.321 – volume: 43 start-page: 247 year: 1996 end-page: 261 ident: CR25 article-title: Convolutions and Fourier-Feynman transforms of functionals involving multiple integrals publication-title: Mich. Math. J. doi: 10.1307/mmj/1029005461 – volume: 26 start-page: 103 year: 1979 end-page: 127 ident: CR31 article-title: An analytic Fourier-Feynman transform publication-title: Mich. Math. J. doi: 10.1307/mmj/1029002166 – volume: 27 start-page: 137 year: 1990 end-page: 144 ident: CR17 article-title: Evaluation formulas for conditional abstract Wiener integrals. II publication-title: J. Korean Math. Soc. – volume: 50 start-page: 647 year: 1975 end-page: 667 ident: CR29 article-title: The Cameron-Storvick function space integral: The theory publication-title: J. Math. Anal. Appl. doi: 10.1016/0022-247X(75)90017-7 – year: 1972 ident: CR3 publication-title: A Functional Transform for Feynman Integrals Similar to the Fourier Transform – volume: 37 start-page: 647 year: 1933 end-page: 668 ident: CR39 article-title: Notes on random functions publication-title: Math. Z. doi: 10.1007/BF01474606 – year: 2013 ident: CR20 publication-title: Measure Theory doi: 10.1007/978-1-4614-6956-8 – volume: 10 start-page: 179 year: 2000 end-page: 200 ident: CR10 article-title: Fourier-Feynman transform, convolution and first variation of functionals on abstract Wiener space publication-title: Integral Transforms Spec. Funct. doi: 10.1080/10652460008819285 – volume: 20 start-page: 950 year: 1989 end-page: 965 ident: CR19 article-title: Conditional analytic Feynman integrals and a related Schrödinger integral equation publication-title: SIAM J. Math. Anal. doi: 10.1137/0520064 – year: 1975 ident: CR37 publication-title: Gaussian Measures in Banach Spaces – volume: 34 start-page: 1147 year: 2004 end-page: 1175 ident: CR49 article-title: A survey of results involving transforms and convolutions in function space publication-title: Rocky Mt. J. Math. doi: 10.1216/rmjm/1181069848 – volume: 130 start-page: 27 year: 1987 end-page: 40 ident: CR13 article-title: Scale-invariant measurability in abstract Wiener spaces publication-title: Pac. J. Math. doi: 10.2140/pjm.1987.130.27 – start-page: 31 year: 1967 end-page: 42 ident: CR22 publication-title: Abstract Wiener spaces – volume: 23 start-page: 388 year: 1969 end-page: 400 ident: CR40 article-title: A generalized Paley-Wiener-Zygmund integral and its applications publication-title: Proc. Am. Math. Soc. doi: 10.1090/S0002-9939-1969-0245752-1 |
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| Snippet | We study a conditional Fourier-Feynman transform (CFFT) of functionals on an abstract Wiener space (
H
,
B
,
v
). An infinite dimensional conditioning function... We study a conditional Fourier-Feynman transform (CFFT) of functionals on an abstract Wiener space (H, B, v). An infinite dimensional conditioning function is... |
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| SubjectTerms | Analysis Conditioning Convex and Discrete Geometry Euclidean space Fourier transforms Hilbert space Integral equations Integrals Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics Metric space Ordinary Differential Equations Partial differential equations |
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| Title | Conditional Fourier-Feynman transform given infinite dimensional conditioning function on abstract Wiener space |
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