Infinite Dimensional Oscillatory Integrals with Polynomial Phase and Applications to Higher-Order Heat-Type Equations
Author:
Publisher
Springer Science and Business Media LLC
Subject
Analysis
Link
http://link.springer.com/article/10.1007/s11118-017-9653-7/fulltext.html
Reference37 articles.
1. Albeverio, S., Brzezniak, Z.: Finite-dimensional approximation approach to oscillatory integrals and stationary phase in infinite dimensions. J. Funct. Anal. 113(1), 177–244 (1993)
2. Albeverio, S., Høegh-Krohn, R.: Oscillatory integrals and the method of stationary phase in infinitely many dimensions, with applications to the classical limit of quantum mechanics. Invent. Math. 40(1), 59–106 (1977)
3. Albeverio, S., Høegh-Krohn, R., Mazzucchi, S.: Mathematical Theory of Feynman Path Integrals - an Introduction. 2nd Corrected and Enlarged Edition Lecture Notes in Mathematics, vol. 523. Springer, Berlin (2008)
4. Albeverio, S., Mazzucchi, S.: Generalized Fresnel integrals. Bull. Sci. Math. 129(1), 1–23 (2005)
5. Albeverio, S., Mazzucchi, S.: Feynman path integrals for polynomially growing potentials. J. Funct. Anal. 221(1), 83–121 (2005)
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