Nikolai Karapetiants,
Stefan Samko
Equations with Involutive Operators
Paperback Engels 2012 9781461266518Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
This self-contained title demonstrates an important interplay between abstract and concrete operator theory. Key ideas are developed in a step-by-step approach, beginning with required background and historical material, and culminating in the final chapters with state-of-the-art topics. Good examples, bibliography and index make this text a valuable classroom or reference resource.
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Inhoudsopgave
Introduction * Notation * I. On Fredholmness of Singular and Convolution Operators * II. On Fredholmness of Other Singular-Type Operators * III. Functional and Singular Integral Equations with Carleman Shifts in the Case of Continuous Coefficients * IV. Two Term Equations $(A+Qb)\Varphi = f$ with an Involutive Operator $Q$: An Abstract Approach and Applications * V. Equations with Several Generalized Involutive Operators: A Matrix Abstract Approach and Applications * VI. Application of the Abstract Approach to Singular Equations on the Real Line with Fractional-Linear Shift * Bibliography * List of Symbols * Index
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