Certaines propriétés des mesures sur les espaces de Banach
Classes de protenseurs distributions contravariants
Compactness in spaces of uniform measures (Preliminary communication)
Conditional Fourier-Feynman transform given infinite dimensional conditioning function on abstract Wiener space
We study a conditional Fourier-Feynman transform (CFFT) of functionals on an abstract Wiener space . An infinite dimensional conditioning function is used to define the CFFT. To do this, we first present a short survey of the conditional Wiener integral concerning the topic of this paper. We then establish evaluation formulas for the conditional Wiener integral on the abstract Wiener space . Using the evaluation formula, we next provide explicit formulas for CFFTs of functionals in the Kallianpur...
Conditional generalized analytic Feynman integrals and a generalized integral equation.
Conical measures and vector measures
Every conical measure on a weak complete space is represented as integration with respect to a -additive measure on the cylindrical -algebra in . The connection between conical measures on and -valued measures gives then some sufficient conditions for the representing measure to be finite.
Continuité et différentiabilité des translations dans un espace Gaussien.
Continuous extensions of spectral measures
Corrigendum on "Semigroup-theoretical proofs of the central limit theorem and other theorems of analysis.
Derivative of the Donsker delta functionals
We prove that derivatives of any finite order of Donsker's delta functionals are well-defined elements in the space of Hida distributions. We also show the convergence to the derivative of Donsker's delta functionals of two different approximations. Finally, we present an existence result of finite product and infinite series of the derivative of the Donsker delta functionals.
Differentiability points of a distance function
Differential properties of measures on infinite dimensional spaces and the Malliavin calculus
Division space axiomatics
Domain of partial attraction for infinitely divisible distributions in a Hilbert space
Duality of measure and category in infinite-dimensional separable Hilbert space .
Espaces du type Sobolev sur un espace de Hilbert complexe
Étude de certains processus (stochastiquement) différentiables ou holomorphes
Evaluation formulas for a conditional Feynman integral over Wiener paths in abstract Wiener space
In this paper, we introduce a simple formula for conditional Wiener integrals over , the space of abstract Wiener space valued continuous functions. Using this formula, we establish various formulas for a conditional Wiener integral and a conditional Feynman integral of functionals on in certain classes which correspond to the classes of functionals on the classical Wiener space introduced by Cameron and Storvick. We also evaluate the conditional Wiener integral and conditional Feynman integral...
Exposé IV. Additif au théorème (4.3)
Feynman diagrams and large order estimates for the exponential anharmonic oscillator