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A Survey of an Analog of Analytic Feynman Integrals on a Function Space

Journal Name:

  • Mathematica Æterna

Publication Year:

  • 2011

Key Words:

Author Name
Abstract (2. Language): 
Let Cr [0,t] denote an analogue of the r-dimensional Wiener space. In the present paper, we introduce analogues of the analytic Wiener and Feynman integrals for several types of functions, in particular, the functionals of the forms expj J 0(s,x(s))d?y(s) jp(x(t)) and j=^J (xj(s))mjds for x = (xi, ••• ,xr) £ Cr [0,t], where n is a complex Borel measure on [0,t], and 9(s, •) and ip are the Fourier-Stieltjes transforms of the complex Borel measures on the r-dimensional Euclidean space Rr.
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  • 3
149-161
  • English

REFERENCES

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