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AN ANALOGUE OF WIENER MEASURE AND ITS APPLICATIONS
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 Title & Authors
AN ANALOGUE OF WIENER MEASURE AND ITS APPLICATIONS
Im, Man-Kyu; Ryu, Kun-Sik;
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 Abstract
In this note, we establish a translation theorem in an analogue of Wiener space (C[0,t],) and find formulas for the conditional -integral given by the condition X(x) = (x(to), x(t),…, x(t)) which is the generalization of Chang and Chang`s results in 1984. Moreover, we prove a translation theorem for the conditional -integral.l.
 Keywords
analogue of Wiener measure;translation theorem;conditional -integral;
 Language
English
 Cited by
1.
THE BARTLE INTEGRAL AND THE CONDITIONAL WIENER INTEGRAL ON C[0,t],;;

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THE ROTATION THEOREM ON ANALOGUE OF WIENER SPACE,;;

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EVALUATION E(exp(∫0th(s)dx(s)) ON ANALOGUE OF WIENER MEASURE SPACE,;

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INTEGRATION WITH RESPECT TO ANALOGUE OF WIENER MEASURE OVER PATHS IN WIENER SPACE AND ITS APPLICATIONS,;

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AN INTEGRATION FORMULA FOR ANALOGUE OF WIENER MEASURE AND ITS APPLICATIONS,;

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9.
Conditional Integral Transforms on a Function Space,;

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10.
RELATIONSHIPS BETWEEN INTEGRAL TRANSFORMS AND CONVOLUTIONS ON AN ANALOGUE OF WIENER SPACE,;

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11.
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12.
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대한수학회지, 2013. vol.50. 5, pp.1105-1127 crossref(new window)
13.
THE TRANSLATION THEOREM ON THE GENERALIZED ANALOGUE OF WIENER SPACE AND ITS APPLICATIONS,;

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14.
CONDITIONAL INTEGRAL TRANSFORMS AND CONVOLUTIONS OF BOUNDED FUNCTIONS ON AN ANALOGUE OF WIENER SPACE,;

충청수학회지, 2013. vol.26. 2, pp.323-342 crossref(new window)
1.
A TIME-INDEPENDENT CONDITIONAL FOURIER-FEYNMAN TRANSFORM AND CONVOLUTION PRODUCT ON AN ANALOGUE OF WIENER SPACE, Honam Mathematical Journal, 2013, 35, 2, 179  crossref(new windwow)
2.
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OPERATOR-VALUED FUNCTION SPACE INTEGRALS VIA CONDITIONAL INTEGRALS ON AN ANALOGUE WIENER SPACE II, Bulletin of the Korean Mathematical Society, 2016, 53, 3, 903  crossref(new windwow)
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Analogues of conditional Wiener integrals and their change of scale transformations on a function space, Journal of Mathematical Analysis and Applications, 2009, 359, 2, 421  crossref(new windwow)
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CONDITIONAL INTEGRAL TRANSFORMS AND CONVOLUTIONS OF BOUNDED FUNCTIONS ON AN ANALOGUE OF WIENER SPACE, Journal of the Chungcheng Mathematical Society, 2013, 26, 2, 323  crossref(new windwow)
7.
EVALUATION FORMULAS FOR AN ANALOGUE OF CONDITIONAL ANALYTIC FEYNMAN INTEGRALS OVER A FUNCTION SPACE, Bulletin of the Korean Mathematical Society, 2011, 48, 3, 655  crossref(new windwow)
8.
Conditional integral transforms and conditional convolution products on a function space, Integral Transforms and Special Functions, 2012, 23, 6, 405  crossref(new windwow)
9.
EVALUATION E(exp(∫0th(s)dx(s)) ON ANALOGUE OF WIENER MEASURE SPACE, Honam Mathematical Journal, 2010, 32, 3, 441  crossref(new windwow)
10.
Integral Transforms on a Function Space with Change of Scales Using Multivariate Normal Distributions, Journal of Function Spaces, 2016, 2016, 1  crossref(new windwow)
11.
THE SIMPLE FORMULA OF CONDITIONAL EXPECTATION ON ANALOGUE OF WIENER MEASURE, Honam Mathematical Journal, 2008, 30, 4, 723  crossref(new windwow)
12.
THE ROTATION THEOREM ON ANALOGUE OF WIENER SPACE, Honam Mathematical Journal, 2007, 29, 4, 577  crossref(new windwow)
13.
Operator-valued Feynman integral via conditional Feynman integrals on a function space, Central European Journal of Mathematics, 2010, 8, 5, 908  crossref(new windwow)
14.
SCALE TRANSFORMATIONS FOR PRESENT POSITION-INDEPENDENT CONDITIONAL EXPECTATIONS, Journal of the Korean Mathematical Society, 2016, 53, 3, 709  crossref(new windwow)
15.
THE BARTLE INTEGRAL AND THE CONDITIONAL WIENER INTEGRAL ON C[0,t], Communications of the Korean Mathematical Society, 2004, 19, 4, 643  crossref(new windwow)
16.
THE TRANSLATION THEOREM ON THE GENERALIZED ANALOGUE OF WIENER SPACE AND ITS APPLICATIONS, Journal of the Chungcheng Mathematical Society, 2013, 26, 4, 735  crossref(new windwow)
17.
Conditional Integral Transforms on a Function Space, Kyungpook mathematical journal, 2012, 52, 4, 413  crossref(new windwow)
18.
CONDITIONAL FOURIER-FEYNMAN TRANSFORMS AND CONVOLUTIONS OF UNBOUNDED FUNCTIONS ON A GENERALIZED WIENER SPACE, Journal of the Korean Mathematical Society, 2013, 50, 5, 1105  crossref(new windwow)
19.
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20.
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21.
RELATIONSHIPS BETWEEN INTEGRAL TRANSFORMS AND CONVOLUTIONS ON AN ANALOGUE OF WIENER SPACE, Honam Mathematical Journal, 2013, 35, 1, 51  crossref(new windwow)
 References
1.
Ann. of Math., 1944. vol.45. pp.386-396 crossref(new window)

2.
Lecture Notes in Math, 1980. vol.798. pp.18-69 crossref(new window)

3.
Bull. Korean Math. Soc., 1984. vol.32. pp.99-106

4.
Mathematical surveys, 1977. 15,

5.
Probability measures on metric spaces, 1969.

6.
Trans. Amer. Math. Soc.(to appear), 1923.

7.
J. Math. Phys, 1923. vol.2. pp.131-174

8.
Series in Pure Mathematics, 1985. vol.5.

9.
Pure and Applied Mathematics, 1973. vol.13.

10.
Pacific J. Math., 1974. vol.52. 2, pp.631-640 crossref(new window)

11.
Pacific J. Math., 1975. vol.59. 2, pp.631-640

12.
Tohoku Math. J., 1978. vol.30. pp.505-515 crossref(new window)