Random fields as generalized white noise functionals

DOI10.1007/BF00994911zbMath0812.60051MaRDI QIDQ1332518

Takeyuki Hida

Publication date: 14 May 1995

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

zbMATH Keywords

diffusion processesgeneralized white noise functionalsconvex manifold diffeomorphic to the spherenuclear space induced by a Gaussian measurestochastic variational equation

Mathematics Subject Classification ID

Applications of stochastic analysis (to PDEs, etc.) (60H30) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65)

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Cites Work

• Brownian functionals and applications
• A note on generalized Gaussian random fields
• Conformal invariance of white noise
• Infinite dimensional rotations and Laplacians in terms of white noise calculus
• White noise approach to Gaussian random fields
• The Radiation Theories of Tomonaga, Schwinger, and Feynman
• On a Relativistically Invariant Formulation of the Quantum Theory of Wave Fields*
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