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CONVERGENCE THEOREMS IN MEASURES FOR THE OPERATOR-VALUED FEYNMAN INTEGRAL

  • Ahn, Byung-Moo (Department of Mathematics, Soonchunhyang University)
  • 발행 : 2002.01.01

초록

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

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참고문헌

  1. Bull. Korean Math. Soc. v.33 no.3 A bounded convergence theorem for the operator-valued eynman integral B. M. Ahn
  2. J. Korean Math. Soc. v.34 no.3 A class of the operator-valued Feynman integral
  3. J. Math. Mech. v.18 An operator valued function space integral and a relatede integral equations R. H. Cameron;D. A. Stovick
  4. Amer. Math. Soc. Colloq. Functional analysis and Semi-groups E. Hille;R. S. Phillips
  5. 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
  6. 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
  7. Functional Analysis R. Larsen
  8. Methods of Modern Mathematical Physics v.I M. Reed;B. Simon
  9. Functional Analysis W. Rudin