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Inequalities of Bernshtein type in abstract harmonic analysis

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Publication:1151104
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DOI10.1007/BF00971828zbMath0457.47011MaRDI QIDQ1151104

Anatoly G. Baskakov

Publication date: 1980

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


zbMATH Keywords

Beurling spectrumBernshtein inequalityDitkin condition


Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40) Representations of commutative topological algebras (46J25)


Related Items

On Wiener's theorem for functions periodic at infinity, Spectral analysis of abstract parabolic operators in homogeneous function spaces, II, Closed operator functional calculus in Banach modules and applications, Memory estimation of inverse operators, Harmonic analysis of functions in homogeneous spaces and harmonic distributions that are periodic or almost periodic at infinity



Cites Work

  • Harmonic analysis based on certain commutative Banach algebras
  • A spectral theory for a class of linear operators
  • Bernstein's inequality for locally compact Abelian groups
  • An Approximation Theorem for a Class of Operators
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