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2001•Birkhäuser Boston eBooksRequires access

Spectral Theory of Integral Operators

Israel Gohberg, Seymour Goldberg

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Abstract

Using the theory developed in Chapter III, we now present the fundamental theorems of the spectral theory of self adjoint integral operators. This chapter also contains the spectral theory of differential operators of the Sturm-Liouville type. Integral operators which describe certain physical systems are studied in the next chapter. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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What this paper is about

Using the theory developed in Chapter III, we now present the fundamental theorems of the spectral theory of self adjoint integral operators. This chapter also contains the spectral theory of differential operators of the Sturm-Liouville type. Integral operators which describe certain physical systems are studied in the next chapter. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Available abstract

Using the theory developed in Chapter III, we now present the fundamental theorems of the spectral theory of self adjoint integral operators. This chapter also contains the spectral theory of differential operators of the Sturm-Liouville type. Integral operators which describe certain physical systems are studied in the next chapter. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Key concepts: Spectral theory of ordinary differential equations, Spectral theory, Fourier integral operator, Spectral theorem, Operator theory, Mathematics, Microlocal analysis, Spectral properties

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