THE REPRESENTATION OF STRONGLY CONTINUOUS OPERATOR SEMIGROUPS ON VECTOR BUNDLES AS HIDA DISTRIBUTIONS

DOI10.1142/S021902570900377XzbMath1207.60048MaRDI QIDQ3643572

Batu Güneysu

Publication date: 9 November 2009

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

zbMATH Keywords

operator semigroupsHida distributionsheat equations on manifolds

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) White noise theory (60H40) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Distributions on infinite-dimensional spaces (46F25)

Cites Work

• Calculus on Gaussian white noise. I
• Calculus on Gaussian white noise. II
• Calculus on Gaussian white noise. III
• A characterization of Hida distributions
• White noise calculus and Fock space
• Operator calculus on vector-valued white noise functionals
• Generalized functionals in Gaussian spaces: The characterization theorem revisited
• Calculus on Gaussian white noise. IV
• THEORY OF DISTRIBUTION IN THE SENSE OF CONNES–HIDA AND FEYNMAN PATH INTEGRAL ON A MANIFOLD

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