Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

A DOMINATED CONVERGENCE THEOREM FOR THE OPERATOR-VALUED FEYNMAN INTEGRAL

  • Ahn, Byung-Moo (Department of Mathematics, Soonchunhyang University)
  • Published : 2000.09.01

⟨ Previous Next ⟩

Abstract

The existence of the operator-valued Feynman integral was established when a Wiener functional is given by a Fourier transform of complex Borel measure [1]. In this paper, I investigate a stability of the Feynman integral with respect to the potentials.

Keywords

References

  1. J. Korean Math. Soc. v.34 no.3 A class of the operator-valued Feynman integral B. M. Ahn
  2. J. Math. Mech. v.18 An operator valued function space integral and a related integral equations R. H. Cameron;D. A. Stovick
  3. Amer. Math. Soc. Colloq. Functional analysis and Semi-groups, vol. XXXI rev.ed. E. Hille;R. S. Phillips
  4. Mem. Amer. Math. Soc. v.62 no.351 Generalized Dyson Series, generalized Feynman diagrams, Feynman integral, and Feynman's operational calculus G. W. Johnson;M. L. Lapidus
  5. Supplemento ai Rendiconti del Circolo Matematico di Palermo Serie Ⅱ-Numero v.8 Stability Theorems for the Feynman Integral G. W. Johnson;D. L. Skoug
  6. Nagoya Math. J. v.60 Carmeron-Stovick function space integral: an $L(L_p,\;L_{p'})$theory G. W. Johnson;D. L. Skoug
  7. Methods of Modern Mathematical Physics Vol. Ⅰ(Rev. and enl. ed.) M. Reed;B. Simon
  8. Functional Analysis W. Rudin