On the spectrum of the algebra of singular integral operators with discontinuities in symbols in momenta and coordinates

DOI10.1007/s10958-011-0204-2zbMath1226.47104OpenAlexW1988790193MaRDI QIDQ549446

Yong-Cai Geng, Sumit K. Garg

Publication date: 18 July 2011

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-011-0204-2

zbMATH Keywords

multiplication operatorpullbackpushoutFredholm indexpiecewise continuous functionFourier convolution operatorlocal principle

Mathematics Subject Classification ID

Integral operators (47G10) Conjugate functions, conjugate series, singular integrals (42A50) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Cites Work

• On compactness of commutators of multiplications and convolutions, and boundedness of pseudodifferential operators
• Pullback and pushout constructions in \(C^*\)-algebra theory
• Inversion problem for singular integral operators: C ^* -approach
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