Nuclearity of operators related to finite measure spaces
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Publication:2193919
DOI10.1007/s11868-020-00353-zzbMath1497.47065OpenAlexW3042054644MaRDI QIDQ2193919
Shyam Swarup Mondal, Vishvesh Kumar
Publication date: 25 August 2020
Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)
Full work available at URL: https://biblio.ugent.be/publication/8688347
Fourier transformpseudo-differential operatorsfinite measure space\(S\)-operators\( \mathbb{Z} \)-operators
Harmonic analysis on homogeneous spaces (43A85) General theory of partial differential operators (47F05) Pseudodifferential operators (47G30)
Related Items (5)
Boundedness and nuclearity of pseudo-differential operators on homogeneous trees ⋮ Characterizations of self-adjointness, normality of pseudo-differential operators on homogeneous space of compact groups ⋮ Nuclearity for power series kernels in higher dimensions ⋮ Self-adjointness and compactness of operators related to finite measure spaces ⋮ Trace class and Hilbert-Schmidt pseudo differential operators on step two nilpotent Lie groups
Cites Work
- The trace of nuclear operators on \(L^{p}(\mu )\) for \(\sigma \)-finite Borel measures on second countable spaces
- Exponential estimates of solutions of pseudodifferential equations on the lattice \((h \mathbb Z)^n\): applications to the lattice Schrödinger and Dirac operators
- Quantization of pseudo-differential operators on the torus
- Hilbert-Schmidt and trace class pseudo-differential operators on the abstract Heisenberg group
- Spectral properties of elliptic pseudodifferential operators on a closed curve
- On symbol analysis of periodic pseudodifferential operators
- Fourier multipliers, symbols, and nuclearity on compact manifolds
- Characterizations of nuclear pseudo-differential operators on \(\mathbb {S}^1\) with applications to adjoints and products
- Dixmier traces for discrete pseudo-differential operators
- \( \mathbb{Z} \)-operators related to a finite measure space
- Correction to: ``\(C^*\)-algebras, \(H^*\)-algebras and trace ideals of pseudo-differential operators on locally compact, Hausdorff and abelian groups
- Traces of pseudo-differential operators on compact and Hausdorff groups
- Difference equations and pseudo-differential operators on \(\mathbb{Z}^n\)
- \(L^p\)-boundedness and \(L^p\)-nuclearity of multilinear pseudo-differential operators on \(\mathbb{Z}^n\) and the torus \(\mathbb{T}^n\)
- Schatten classes, nuclearity and nonharmonic analysis on compact manifolds with boundary
- Pseudo-differential operators on homogeneous spaces of compact and Hausdorff groups
- \(C^*\)-algebras, \(H^*\)-algebras and trace ideals of pseudo-differential operators on locally compact, Hausdorff and abelian groups
- \(L^p\)-nuclearity, traces, and Grothendieck-Lidskii formula on compact Lie groups
- $L^p$-nuclear pseudo-differential operators on $\mathbb {Z}$ and $\mathbb {S}^1$
- A Characterization of Compact Pseudo-Differential Operators on $$\mathbb{S}^1$$
- La théorie de Fredholm
- On a proof of the boundedness and nuclearity of pseudodifferential operators in $R^n$
- On the Toroidal Quantization of Periodic Pseudo-Differential Operators
- On the Fourier Analysis of Operators on the Torus
- Pseudo-Differential Operators and Symmetries
- Pseudo-Differential Operators on $$ \mathbb{S}^1 $$
- Essential spectra and exponential estimates of eigenfunctions of lattice operators of quantum mechanics
- Characterizations of nuclear pseudo-differential operators on ℤ with some applications
- L p -bounds for Pseudo-differential Operators on the Torus
- S-operators related to a finite measure space
- Multilinear analysis for discrete and periodic pseudo-differential operators inLp-spaces
- Global Quantization of Pseudo-Differential Operators on Compact Lie Groups, SU(2), 3-sphere, and Homogeneous Spaces
- Pseudo-Differential Operators on the Affine Group
- An Introduction to Pseudo-Differential Operators
- An algebra of pseudo‐differential operators
- Produits tensoriels topologiques et espaces nucléaires
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