Convolution and fourier-feynman transforms

Rocky Mountain Journal of Mathematics

Volumn 27, Issue 3, 1997, Pages 827-841

  Huffman, Timothy ^a   Park, Chull ^b   Skoug, David ^c  

^a Northwestern College Orance City   (United States)

^b MIAMI UNIVERSITY   (United States)

^c UNIVERSITY OF NEBRASKA LINCOLN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031313486     PISSN: 00357596     EISSN: None     Source Type: Journal    
DOI: 10.1216/rmjm/1181071896     Document Type: Article

References (11)

1. M.D. Brue, A functional transform for Feynman integrals similar to the Fourier transform, Thesis, University of Minnesota, 1972.
2. R.H. Cameron and D.A. Storvick, An operator valued function space integral and a related integral equation, J. Math. Mech. 18 (1968), 517-552.
3. R.H. Cameron and D.A. Storvick, An L2 analytic Fourier-Feynman transform, Michigan Math. J. 23 (1976), 1-30.
4. K.S. Chang, Scale-invariant measurability in Yeh-Wiener space, J. Korean Math. Soc. 19 (1982), 61-67.
5. T. Huffman, C. Park and D. Skoug, Analytic Fourier-Feynman transforms and convolution, Trans. Amer. Math. Soc. 347 (1995), 661-673.
6. p′) theory, Nagoya Math. J. 60 (1976), 93-137.
7. p analytic Fourier-Feynman transform, Michigan Math. J. 26 (1979), 103-127.
8. G.W. Johnson and D.L. Skoug, Scale-invariant measurability in Wiener space, Pacific J. Math. 83 (1979), 157-176.
9. E.M. Stein and G. Weiss, Introduction to Fourier analysis on Euclidean spaces, Princeton University Press, Princeton, NJ, 1971.
10. J. Yeh, Convolution in Fourier- Wiener transform, Pacific J. Math. 15 (1965), 731-738.
11. I. Yoo, Convolution in Fourier-Wiener transform on abstract Wiener space, to appear in Rocky Mountain Math. J.