Cameron, R. H.; Storvick, D. A. Analytic Feynman integral solutions of an integral equation related to the Schrödinger equation. (English) Zbl 0487.45008 J. Anal. Math. 38, 34-66 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 9 Documents MSC: 45K05 Integro-partial differential equations 28C20 Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) 81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics 81Q30 Feynman integrals and graphs; applications of algebraic topology and algebraic geometry Keywords:Wiener integral; analytic Feynman integral; Fourier-Stieltjes transforms; Schrödinger equation PDFBibTeX XMLCite \textit{R. H. Cameron} and \textit{D. A. Storvick}, J. Anal. Math. 38, 34--66 (1980; Zbl 0487.45008) Full Text: DOI References: [1] S. Albeverio and R. Höegh-Krohn,Mathematical theory of Feynman path integrals, Preprint series. Institute of Mathematics, University of Oslo, 1974. · Zbl 0337.28009 [2] Albeverio, S.; Höegh-Krohn, R., Feynman path integrals and the corresponding method of stationary phase, 3-57 (1978), Berlin: Springer-Verlag, Berlin · Zbl 0424.28014 [3] R. H. Burkhart.A rigorous development of Feynman’s original path integral, University of North Carolina at Wilmington, Dec. 1978, preprint. [4] Cameron, R. H., The ilstow and Feynman integrals, J. Analyse Math., 10, 287-361 (1962) · Zbl 0133.07701 · doi:10.1007/BF02790311 [5] Cameron, R. H.; Martin, W. T., An unsymmetric Fubini theorem, Bull. Amer. Math. Soc., 47, 121-125 (1941) · Zbl 0025.15201 · doi:10.1090/S0002-9904-1941-07384-2 [6] R. H. Cameron and D. A. Storvick,Some Banach algebras of analytic Feynman integrable functionals. Proceedings of Seventh International Conference on Analytic Functions, Kozubnik, Poland, to appear. · Zbl 0439.28007 [7] Johnson, G. W.; Skoug, D. L., A Banach algebra of Feynman integrabe functionals with application to an integral equation formally equivalent to Schroedinger’s Equation, J. Functional Analysis, 12, 129-152 (1973) · Zbl 0255.46041 · doi:10.1016/0022-1236(73)90019-0 [8] Tarski, J., Feynman-type integrals defined in terms of general cylindrical approximations, 254-279 (1978), Berlin: Springer-Verlag, Berlin [9] Truman, A., The polygonal path formulation of the Feynman path integral, 73-102 (1978), Berlin: Springer-Verlag, Berlin · Zbl 0412.28009 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.