Infinite dimensional parametric distributions

DOI10.1080/00036818708839670zbMath0591.46038OpenAlexW2053194443WikidataQ58305753 ScholiaQ58305753MaRDI QIDQ3719287

John F. Schmeelk

Publication date: 1987

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036818708839670

zbMATH Keywords

dual spaceFock spaceskernel representationcreation and annihilation operatorsgeneralized Schrödinger equationsscale of Fréchet spacesgeneralization of differentiationinfinite dimensional tempered distributionsinfinite parametric distributionsreal time parameter

Mathematics Subject Classification ID

Constructive quantum field theory (81T08) Locally convex Fréchet spaces and (DF)-spaces (46A04) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Distributions on infinite-dimensional spaces (46F25)

Related Items (3)

Multiplication and mixed differentiation in generalized Fock spaces ⋮ Quasiasymptotics and the dual fock space ⋮ Infinite dimensional fock spaces and schrödinger equation solutions

Cites Work

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• Dualité des espaces de fonctions entières en dimension infinie
• An infinite-dimensional Laplacian operator
• A Hölmgren type theorem for pseudo-differential operators in Gevrey classes
• Application of test surfunctions
• Holomorphic Fock representations and partial differential equations on countably Hilbert spaces
• Lineare Räume mit unendlich vielen Koordinaten und Ringe unendlicher Matrizen.
• Partial differential equations in Fischer-Fock spaces for the Hilbert-Schmidt holomorphy type
• New proofs and generalisations of theorems of existence and uniqueness for the goursat problem
• Dualität in der Funktionentheorie.

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