Notes on a generalized Fresnel class

1. Ahn JM, Johnson GW, Skoug DL (1991) Functions in the Fresnel class of an abstract Wiener space. J Korean Math Soc 28:245–265

   Google Scholar 

2. Albeverio S, Hoegh-Krohn (1976) Mathematical Theory of Feynman Path Integrals. Lecture Notes in Mathematics, Vol 523. Springer-Verlag, Berlin

   Google Scholar 

3. Cameron RH, Storvick DA (1982) Some Branch Algebras of Analytic Feynman Integrable Functions. Lecture Notes in Mathematics, Vol 798. Springer-Verlag, Berlin, pp 18–67

   Google Scholar 

4. Cameron RH, Storvick DA (1982) A new translation theorem for the analytic Feynman integral. Rev Roumaine Math Pures Appl 27:937–944

   Google Scholar 

5. Chang KS, Johnson GW, Skoug DL (1984) Necessary and sufficient conditions for the Fresnel integrability of certain classes of functions. J Korean Math Soc 21:21–29

   Google Scholar 

6. Chang KS, Johnson GW, Skoug DL (1987) Functions in the Fresnel class. Proc Amer Math Soc 100:309–318

   Google Scholar 

7. Chang KS, Johnson GW, Skoug DL (1987) Necessary and sufficient conditions for membership in the Banach algebra S for certain classes of functions. Supplemento ai Rendiconti del Circolo Matematico di Palermo 17:153–171

   Google Scholar 

8. Feynman RP (1948) Space-time approach to non-relativistic quantum mechanics. Rev Mod Phys 20:367–387

   Google Scholar 

9. Johnson GW (1984) An unsymmetric Fubini theorem. Amer Math Monthly 91:131–133

   Google Scholar 

10. Kallianpur G (1970) The role of reproducing kernel Hilbert spaces in the study of Gaussian processes. Adv in Prob 2:49–83 (edited by Ney P), New York

    Google Scholar 

11. Kallianpur G, Bromley C (1984) Generalized Feynman integrals using analytic continuation in several complex variables. Stochastic Anal Appl 433–450 (edited by Pinsky MA), New York

12. Kallianpur G, Kannan D, Karandikar RL (1985) Analytic and sequential Feynman integrals on abstract Wiener and Hilbert spaces and a Cameron-Martin formula. Ann Inst Henri Poincaré 21:323–361

    Google Scholar 

13. Kuo HH (1975) Gaussian Measures in Banach Spaces. Lecture Notes in Mathematics, Vol 463. Springer-Verlag, Berlin

    Google Scholar 

14. Yoo I, Chang KS (1993) Notes on analytic Feynman integrable functional. Rocky Mountain J Math 23:1133–1142

    Google Scholar 

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