Multiplication and mixed differentiation in generalized Fock spaces

DOI10.1016/0022-247X(92)90076-PzbMath0803.46044MaRDI QIDQ1193198

John F. Schmeelk

Publication date: 27 September 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

ultrapowerstempered distributionfermionsfunctional derivativesinfinite order differential operatorsbosonsscale of Fréchet spacesspaces of new tempered Fock functionals

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Hilbert spaces of continuous, differentiable or analytic functions (46E20)

Cites Work

• A multiplication of distributions
• On the distributional Stieltjes transformation
• An infinite-dimensional Laplacian operator
• Infinite dimensional Fock spaces and associated creation and annihilation operators
• Application of test surfunctions
• A note on the distributional Stieltjes transformation
• Infinite dimensional parametric distributions
• Application of Volterra–Wiener Series for Bounding the Overall Conductivity of Heterogeneous Media. II. Suspensions of Equi-sized Spheres
• Analytic Functions Related to the Distributions of Exponential Growth
• Structural Theorems for Periodic Ultradistributions
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