On the Laplace transorm of functionals on classes of infinitely differentiable functions

DOI10.1007/BF02590896zbMath0172.42101MaRDI QIDQ2531755

M. Neymark

Publication date: 1969

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

functional analysis

Related Items (15)

Extension of ultradifferentiable functions ⋮ On space of holomorphic functions with boundary smoothness and its dual ⋮ On a space of smooth functions on a convex unbounded set in \(\mathbb R^{n }\) admitting holomorphic extension in \(\mathbb C^{n }\) ⋮ Real Version of Paley-Wiener Theorem for Hyperfunctions and Ultradistributions^∗ ⋮ On the Fourier-Laplace transform of functionals on a space of infinitely differentiable functions on a convex compact ⋮ Paley-Wiener-Schwartz type theorem for ultradistributions on an unbounded closed convex set ⋮ Paley-wiener type theorems for the temperature transform^∗ ⋮ Solvability of convolution equations in the Beurling spaces of ultradifferentiable functions of mean type on an interval ⋮ Intersection properties of weak analytically uniform classes of functions ⋮ Sampling theorem for entire functions of exponential growth ⋮ Beitrag zum Divisionsproblem für Ultradistributionen und ein Fortsetzungssatz ⋮ Eigenfunction expansions of ultradifferentiable functions and ultradistributions ⋮ Interpolation of entire functions of finite order ⋮ On Fourier - Laplace transform of a class of generalized functions ⋮ Representation of quasianalytic ultradistributions

Cites Work

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• Sur les fonctionnelles analytiques et la transformation de Fourier-Borel
• On entire functions of exponential type and indicators of analytic functionals
• On unique supports of analytic functionals
• Linear partial differential operators and generalized distributions
• Ultra-distributions definies sur \(R^ n\) et sur certaines classes de variétés différentiables
• Approximation von Funktionen und ihre numerische Behandlung

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