\( \mathbb{Z} \)-operators related to a finite measure space

DOI10.1007/S11868-018-0238-ZzbMath1441.47043OpenAlexW2792462290MaRDI QIDQ2184241

Viorel Catană

Publication date: 28 May 2020

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-018-0238-z

zbMATH Keywords

Plancherel formulacompact operatorpseudo-differential operatormeasurable functionYoung's inequalityHilbert-Schmidt operatormeasure spaceParseval's identity

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) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Linear operators on function spaces (general) (47B38) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Pseudodifferential operators (47G30)

Related Items (5)

Boundedness and nuclearity of pseudo-differential operators on homogeneous trees ⋮ Generalized Fourier multipliers ⋮ Nuclearity of operators related to finite measure spaces ⋮ Self-adjointness and compactness of operators related to finite measure spaces ⋮ S-operators related to a finite measure space

Cites Work

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• Weyl's formula in the spectral theory of automorphic functions
• Ellipticity, Fredholmness and spectral invariance of pseudo-differential operators on \({{\mathbb S}^1}\)
• Weak type (1,1) bounds for a class of periodic pseudo-differential operators
• L^p-boundedness of Multilinear Pseudo-differential Operators on Zⁿand Tⁿ
• Discrete Fourier Analysis
• On the Fourier Analysis of Operators on the Torus
• Pseudo-Differential Operators and Symmetries
• Pseudo-Differential Operators on $$ \mathbb{S}^1 $$
• An Introduction to Pseudo-Differential Operators

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