Generalized infinite-dimensional Fresnel integrals;Intégrales de Fresnel en dimension infinie

Comptes Rendus Mathematique

Volumn 338, Issue 3, 2004, Pages 255-259

  Albeverio, Sergio ^a,b   Mazzucchi, Sonia ^b  

^a UNIVERSITY OF BONN   (Germany)

^b UNIVERSITY OF TRENTO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0347759909     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2003.11.022     Document Type: Article

References (8)

1. Albeverio S. Brzeźniak Z. Finite-dimensional approximation approach to oscillatory integrals and stationary phase in infinite dimensions J. Funct. Anal. 113 1 1993 177-244
2. Albeverio S. Brzeźniak Z. Haba Z. On the Schrödinger equation with potentials which are Laplace transform of measures Potential Anal. 9 1 1998 65-82
3. 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 1977 59-106
4. S. Albeverio, S. Mazzucchi, Generalized Fresnel integrals, SFB 611, Preprint No. 59, Bonn, 2003
5. S. Albeverio, S. Mazzucchi, Feynman path integrals for polynomially growing potentials, Preprint of the University of Trento, 2003
6. Elworthy D. Truman A. Feynman maps, Cameron-Martin formulae and anharmonic oscillators Ann. Inst. H. Poincaré Phys. Théor. 41 2 1984 115-142
7. Johnson G.W. Lapidus M.L. The Feynman Integral and Feynman's Operational Calculus 2000 Oxford University Press New York
8. Kuna T. Streit L. Westerkamp W. Feynman integrals for a class of exponentially growing potentials J. Math. Phys. 39 9 1998 4476-4491