A change of scale formula for Wiener integrals of cylinder functions on the abstract Wiener space. II.
Kim, Young Sik (2001)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Operator-valued Feynman integral via conditional Feynman integrals on a function space”
A change of scale formula for Wiener integrals of cylinder functions on the abstract Wiener space. II.
A change of scale formula for Wiener integrals of cylinder functions on abstract Wiener space.
Kim, Young Sik (1998)
International Journal of Mathematics and Mathematical Sciences
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Conditional generalized analytic Feynman integrals and a generalized integral equation.
Chang, Seung Jun, Kang, Soon Ja, Skoug, David (2000)
International Journal of Mathematics and Mathematical Sciences
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Evaluation formulas for a conditional Feynman integral over Wiener paths in abstract Wiener space
Kun Soo Chang, Dong Hyun Cho, Il Yoo (2004)
Czechoslovak Mathematical Journal
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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...
Introducing randomness into first-order and second-order deterministic differential equations.
Moxnes, John F., Hausken, Kjell (2010)
Advances in Mathematical Physics
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Partial differential systems of generalized Wiener and Feynman integrals
Skoug, D.L. (1974)
Portugaliae mathematica
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Relationships of convolution products, generalized transforms and the first variation on function space.
Chang, Seung Jun, Choi, Jae Gil (2002)
International Journal of Mathematics and Mathematical Sciences
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A failure of quantifier elimination.
Angus Macintyre, David Marker (1997)
Revista Matemática de la Universidad Complutense de Madrid
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We show that log is needed to eliminate quantifiers in the theory of the real numbers with restricted analytic functions and exponentiation.
Approximate solution of a boundary problem for a linear complex differential equation of the second order.
Čanak, Miloš, Protić, Ljubomir (2001)
Matematichki Vesnik
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Quantitative concentration inequalities on sample path space for mean field interaction
François Bolley (2010)
ESAIM: Probability and Statistics
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We consider the approximation of a mean field stochastic process by a large interacting particle system. We derive non-asymptotic large deviation bounds measuring the concentration of the empirical measure of the paths of the particles around the law of the process. The method is based on a coupling argument, strong integrability estimates on the paths in Hölder norm, and a general concentration result for the empirical measure of identically distributed independent paths. ...
Łojasiewicz inequalities for sets definable in the structure
Ta Lê Loi (1995)
Annales de l'institut Fourier
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We consider some variants of Łojasiewicz inequalities for the class of subsets of Euclidean spaces definable from addition, multiplication and exponentiation : Łojasiewicz-type inequalities, global Łojasiewicz inequalities with or without parameters. The rationality of Łojasiewicz’s exponents for this class is also proved.