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STOCHASTIC ANALYSIS AND MATHEMATICAL PHYSICS
Proceedings of the Mathematical Legacy of R P Feynman*
Proceedings of the Open Systems and Quantum Statistical Mechanics

*Lisbon, Portugal; Santiago, Chile
*3 - 7 June 2002; 7 - 11 January 2002


CONTENTS

FRONT MATTER
i
RIGOROUS FEYNMAN PATH INTEGRALS, WITH APPLICATIONS TO QUANTUM THEORY, GAUGE FIELDS, AND TOPOLOGICAL INVARIANTS
S. ALBEVERIO, A. HAHN and A. N. SENGUPTA
1
ANALYTIC YEH-FEYNMAN INTEGRAL AND GENERALIZED CONDITIONAL YEH-WIENER INTEGRAL
JOO SUP CHANG
61
THE SELFADJOINT LIE–TROTTER–KATO PRODUCT FORMULA IN OPERATOR NORM AND TIME-SLICED APPROXIMATION TO IMAGINARY-TIME PATH INTEGRAL
TAKASHI ICHINOSE
77
VASSILIEV INVARIANTS AND FUNCTIONAL INTEGRATION WITHOUT INTEGRATION
LOUIS H. KAUFFMAN
91
WIENER ANALYSIS AND CYCLIC HOMOLOGY
R. LÉANDRE
115
ON THE AFFINE METAPLECTIC GROUP
OLE RASK
129
OPEN QUANTUM SYSTEMS AND CLASSICAL TRAJECTORIES
ROLANDO REBOLLEDO
141
STOCHASTIC OSCILLATORY INTEGRALS: ASYMPTOTICS AND EXACT EXPRESSIONS FOR QUADRATIC PHASE FUNCTION
SETSUO TANIGUCHI
165
FOURIER-FEYNMAN TRANSFORMS ON WIENER SPACES
I. YOO, K.S. CHANG, D.H. CHO, B.S. KIM and T.S. SONG
183
INFRARED BOUNDS AND BOSE-EINSTEIN CONDENSATION: STUDY OF A CLASS OF DIAGONALIZABLE PERTURBATIONS OF THE FREE BOSON GAS
M. CORGINI and H. TORRES
203
QUADRATIC WIENER FUNCTIONALS AND DYNAMICS ON GRASSMANNIANS: THE FRAMEWORK AND THE SIMPLEST EXAMPLE
KEISUKE HARA
217
FEYNMAN’S OPERATIONAL CALCULI BLENDING INSTANTANEOUS AND CONTINUOUS PHENOMENA IN FEYNMAN’S OPERATIONAL CALCULI
G. W. JOHNSON and LANCE NIELSEN
229
ON QUANTUM STOCHASTIC DYNAMICS. SOME RECENT DEVELOPMENTS
ADAM W. MAJEWSKI
255
NON ADAPTED TRANSFORMATIONS OF THE WIENER MEASURE
ANA BELA CRUZEIRO
271
FEYNMAN INTEGRALS AND WHITE NOISE ANALYSIS
JOSÉ L. SILVA and LUDWIG STREIT
285
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