Commutative Jacobi fields in Fock space

DOI10.1007/BF01238217zbMath0896.60019MaRDI QIDQ1381223

Yurij M. Berezansky

Publication date: 1 October 1998

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

Jacobi fieldspectral representationdistribution on infinite-dimensional spaces

Mathematics Subject Classification ID

Generalized stochastic processes (60G20) Distributions and ultradistributions as boundary values of analytic functions (46F20) Markov processes (60J99) Distributions on infinite-dimensional spaces (46F25)

Related Items (12)

OPERATORS OF GAMMA WHITE NOISE CALCULUS ⋮ Noncommutative quantum decomposition of Gegenbauer white noise process ⋮ Decay properties for functions of matrices over \(C^\ast\)-algebras ⋮ THE SQUARE OF WHITE NOISE AS A JACOBI FIELD ⋮ Wick ordering associated with the \((p, q)\)-Gaussian white noise process ⋮ THE CONSTRUCTION OF THE CHAOTIC REPRESENTATION FOR THE GAMMA FIELD ⋮ ORTHOGONAL DECOMPOSITIONS FOR LÉVY PROCESSES WITH AN APPLICATION TO THE GAMMA, PASCAL, AND MEIXNER PROCESSES ⋮ FERMION AND BOSON RANDOM POINT PROCESSES AS PARTICLE DISTRIBUTIONS OF INFINITE FREE FERMI AND BOSE GASES OF FINITE DENSITY ⋮ WHITE NOISE LÉVY–MEIXNER PROCESSES THROUGH A TRANSFER PRINCIPAL FROM ONE-MODE TO ONE-MODE TYPE INTERACTING FOCK SPACES ⋮ POISSON MEASURE AS THE SPECTRAL MEASURE OF JACOBI FIELD ⋮ Poisson infinite-dimensional analysis as an example of analysis related to generalized translation operators ⋮ Meixner class of non-commutative generalized stochastic processes with freely independent values. I: A characterization

Cites Work

• Asymptotic behavior of the Gelfand and the Bernstein widths of some classes of analytic functions
• Infinite-dimensional analysis related to generalized translation operators
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