References
- van der Pol B, Bremmer H. Operational calculus based on the two-sided Laplace integral. London: Cambridge University Press; 1950.
- Widder DV. The Laplace transform. Princeton (NJ): Princeton University Press; 1944.
- Chang SJ, Choi JG. An analytic bilateral Laplace–Feynman transform on Hilbert space. Int J Math. 2014;25:22 pp. Article ID 1450118.
- Skoug D, Storvick D. A survey of results involving transforms and convolutions in function space. Rocky Mountain J Math. 2004;34:1147–1175.
- Gross L. Abstract Wiener space. In: Proceedings of the 5th Berkeley Symposium on Mathematical Statistics and Probability. Vol. 2. Berkeley (CA): University of California Press; 1965. p. 31–42.
- Kallianpur G, Bromley C. Generalized Feynman integrals using analytic continuation in several complex variables. In: Pinsky MA, editor. Stochastic analysis and applications. New York (NY): Dekker; 1984. p. 217–267.
- Kuo HH. Gaussian measures in Banach spaces. Berlin: Springer; 1975. (Lecture notes in mathematics; vol. 463).
- Chung DM. Scale-invariant measurability in abstract Wiener spaces. Pacific J Math. 1987;130:27–40.
- Kuelbs J. Abstract Wiener spaces and applications to analysis. Pacific J Math. 1969;31:433–450.
- Kallianpur G, Kannan D, Karandikar RL. Analytic and sequential Feynman integrals on abstract Wiener and Hilbert spaces and a Cameron–Martin formula. Ann Inst Henri Poincaré Probab Stat. 1985;21:323–361.
- Cohn DL. Measure theory. 2nd ed. Boston (MA): Birkhäuser; 2013.
- Rudin W. Real and complex analysis. 3rd ed. New York (NY): McGraw-Hill; 1987.
- Lee UG, Choi JG. An extension of the Cameron–Martin translation theorem via Fourier–Hermite functionals. Arch Math. 2020;115:679–689.
- Huffman T, Park C, Skoug D. Analytic Fourier–Feynman transforms and convolution. Trans Am Math Soc. 1995;347:661–673.
- Kim YS. Fourier–Feynman transforms and analytic Feynman integrals and convolutions of a Fourier transform μˆ of a measure on Wiener space. Houston J Math. 2010;36:1139–1158.
- Kim YS. Relationships between Fourier–Feynman transforms and Wiener integrals on abstract Wiener spaces II. Integral Transforms Spec Funct. 2005;16:57–64.