Influence of some B. V. Khvedelidze’s results on the development of fredholm theory for sios with pc coefficients in Lnp (Γ, ρ)

Nahum Krupnik

Influence of some B. V. Khvedelidze’s results on the development of fredholm theory for sios with pc coefficients in Lⁿ_p (Γ, ρ)

Nahum Krupnik

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

A concise survey on the construction of the spectra, symbols and index-formulas for singular integral operators with piecewise continuous coefficients in the spaces Lⁿ_p(Γ, ρ) is given. Influence of some results by B. V. Khvedelidze on this research is shown. Several interesting associated results, obtained during this research, and their applications are discussed in appendix. An open question is stated. Some historical information, related to this paper is presented in the introduction.

Original language	English
Pages (from-to)	103-117
Number of pages	15
Journal	Memoirs on Differential Equations and Mathematical Physics
Volume	66
State	Published - 2015

Bibliographical note

Publisher Copyright:
© 2015 Razmadze Mathematical Institute. All rights reserved.

Keywords

Banach algebras
Fredholm theory
Index
Spectrum
Symbol

Cite this

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KW - Symbol

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Influence of some B. V. Khvedelidze’s results on the development of fredholm theory for sios with pc coefficients in Lⁿ_p (Γ, ρ)

Abstract

Bibliographical note

Keywords

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