A study on the adjoint of pseudo-differential operators on \(\mathbb {S}^{1}\) and \(\mathbb {Z}\)

DOI10.1007/S11868-015-0115-YzbMath1317.47049OpenAlexW768581221MaRDI QIDQ2352164

Elmira Nabizadeh Morsalfard, Majid Jamalpour Birgani, Mohammad Bagher Ghaemi

Publication date: 30 June 2015

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

Full work available at URL: https://doi.org/10.1007/s11868-015-0115-y

zbMATH Keywords

Hilbert spaceadjointself-adjointnesspseudo-differential operator

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Pseudodifferential operators (47G30)

Related Items (11)

A study on pseudo-differential operators on \(\mathbb {S}^{1}\) and \(\mathbb {Z}\) ⋮ A study on the inverse of pseudo-differential operators on \(\mathbb {S}^{1}\) ⋮ A study on the adjoint of pseudo-differential operators on compact lie groups ⋮ Characterizations of nuclear pseudo-differential operators on \(\mathbb {S}^1\) with applications to adjoints and products ⋮ Pseudo-differential analysis of bounded linear operators from \(L^{p_1}(\mathbb{S}^1)\) into \(L^{p_2}(\mathbb{S}^1)\) ⋮ Characterizations of nuclear pseudo-differential operators on ℤ with some applications ⋮ On the boundedness of periodic pseudo-differential operators ⋮ \(L^{p}\)-boundedness, compactness of pseudo-differential operators on compact Lie groups ⋮ Self-adjointness and compactness of operators related to finite measure spaces ⋮ Characterizations of pseudo-differential operators on \(\mathbb{S}^1\) based on separation-preserving operators ⋮ On some spectral properties of pseudo-differential operators on \(\mathbb{T}\)

Cites Work

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• Ellipticity, Fredholmness and spectral invariance of pseudo-differential operators on \({{\mathbb S}^1}\)
• \(L^p\)-estimates for pseudo-differential operators on \({\mathbb{Z}^n}\)
• $L^p$-nuclear pseudo-differential operators on $\mathbb {Z}$ and $\mathbb {S}^1$
• Spectral Theory of Pseudo-Differential Operators on $$\mathbb{S}^1$$
• A Characterization of Compact Pseudo-Differential Operators on $$\mathbb{S}^1$$
• Discrete Fourier Analysis
• On the Toroidal Quantization of Periodic Pseudo-Differential Operators
• On the Fourier Analysis of Operators on the Torus
• Pseudo-Differential Operators on $$ \mathbb{S}^1 $$
• An Introduction to Pseudo-Differential Operators

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