Holomorphic Fock representations and partial differential equations on countably Hilbert spaces

DOI10.1090/S0002-9904-1973-13326-9zbMath0271.35064MaRDI QIDQ3215690

Thomas A. W. III Dwyer

Publication date: 1973

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Topological linear spaces of continuous, differentiable or analytic functions (46E10) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15)

Related Items

Infinite dimensional parametric distributions, On Schwartz kernels relative to the function space \(\mathcal H_\infty (E)\), Unnamed Item, Infinite dimensional fock spaces and schrödinger equation solutions, Dualité des espaces de fonctions entières en dimension infinie, Multiple signal extraction by polynomial filtering, On Schwartz kernels relative to the function space \(H_{-\infty}(E)\), On Malgrange theorem for nuclear holomorphic functions in open balls of a Banach space, Convolution Equations for Vector-Valued Entire Functions of Nuclear Bounded Type, Infinite dimensional Fock spaces and associated creation and annihilation operators

Cites Work

• Tempered distributions in infinitely many dimensions. I: Canonical field operators. II: Displacement operators
• Hilbert spaces of functional power series
• On a Hilbert Space of Analytie Functions and an Associated Integral Transform. Part II. A Family of Related Function Spaces Application to Distribution Theory
• Partial differential equations in Fischer-Fock spaces for the Hilbert-Schmidt holomorphy type
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