Generalized Fourier transform and its applications

DOI10.1007/s11006-006-0060-4zbMath1123.47029OpenAlexW2058547200MaRDI QIDQ881034

S. V. Panyushkin

Publication date: 21 May 2007

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11006-006-0060-4

zbMATH Keywords

integral transformlocally convex spacecomplex Fourier transformentire operator functionweighted space of entire functions

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Linear operators on function spaces (general) (47B38) Topological linear spaces of continuous, differentiable or analytic functions (46E10)

Related Items (2)

Invariance of the order and type of a sequence of operators ⋮ Homogeneous differential-operator equations in locally convex spaces

Cites Work

• On the Hilbert transform in the Bergman space.
• Fourier-Laplace transformation of functionals on a weighted space of infinitely smooth functions
• A Paley-Wiener type theorem for a weighted space of infinitely differentiable functions
• Analytically Uniform Spaces and Some Applications
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