On Positivity Preserving, Translation Invariant Operators in $$ \mathit L^p (\mathbb R^n)^m $$
DOI10.1007/978-3-030-31531-3_19zbMath1446.42006arXiv1712.05104OpenAlexW2773294010MaRDI QIDQ5118022
M. M. H. Pang, Friedrich Gesztesy
Publication date: 26 August 2020
Published in: Analysis as a Tool in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.05104
positive definitenesstranslation invariant operatorspositivity preserving operatorsconditional positive definiteness
Spaces of vector- and operator-valued functions (46E40) Multipliers for harmonic analysis in several variables (42B15) Positive definite functions in one variable harmonic analysis (42A82) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Positive definite functions on groups, semigroups, etc. (43A35)
Cites Work
- Positive definite functions on Abelian semigroups
- Monotone Funktionen, Stieltjessche Integrale und harmonische Analyse
- Naimark's moment theorem
- Bochner's theorem in infinite dimensions
- Weyl-Titchmarsh M -Function Asymptotics for Matrix-valued Schrödinger Operators
- On (conditional) positive semidefiniteness in a matrix-valued context
- Conditionally positive definite functions on linear spaces
- Classical Fourier Analysis
- On Different Definitions of Positive Definiteness
- Perturbation of Translation Invariant Positivity Preserving Semigroups on L 2 (R N )
- Principal Solutions Revisited
- Bernstein functions. Theory and applications
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