Beurling spectrum of a function in a Banach space

DOI10.1007/S40306-014-0060-5zbMath1322.42009arXiv1003.5086OpenAlexW2086472441MaRDI QIDQ490009

Dang Vu Giang

Publication date: 21 January 2015

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.5086

zbMATH Keywords

Fourier transformconvolutionalmost periodic functionsspectral radiusFourier coefficientsBeurling spectrumcompact spectrumfunctional delay differential equations

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Classical almost periodic functions, mean periodic functions (42A75) Linear functional-differential equations (34K06) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Convolution, factorization for one variable harmonic analysis (42A85) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (2)

A study of the sequence of norm of derivatives (or primitives) of functions depending on their Beurling spectrum ⋮ A computation of the Castelnuovo-Mumford regularity of certain two-dimensional unmixed ideals

Cites Work

• Unnamed Item
• Behavior of the sequence of norms of primitives of a function
• A spectral theory of continuous functions and the Loomis-Arendt-Batty-Vu theory on the asymptotic behavior of solutions of evolution equations
• Introduction to functional differential equations
• On real Paley--Wiener theorems for certain integral transforms.
• A Property of Infinitely Differentiable Functions
• REAL PALEY–WIENER THEOREMS

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