Introduction to spectral theory : selfadjoint ordinary differential operators

書誌事項

Introduction to spectral theory : selfadjoint ordinary differential operators

by B.M. Levitan and I.S. Sargsjan ; [translated from the Russian by Amiel Feinstein]

(Translations of mathematical monographs, v. 39)

American Mathematical Society, 1975

タイトル別名

Vvedenie v spektralʹnui︠u︡ teorii︠u︡

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注記

Bibliography: p. 518-525

内容説明・目次

内容説明

This monograph is devoted to the spectral theory of the Sturm- Liouville operator and to the spectral theory of the Dirac system. In addition, some results are given for nth order ordinary differential operators. Those parts of this book which concern nth order operators can serve as simply an introduction to this domain, which at the present time has already had time to become very broad. For the convenience of the reader who is not familiar with abstract spectral theory, the authors have inserted a chapter (Chapter 13) in which they discuss this theory, concisely and in the main without proofs, and indicate various connections with the spectral theory of differential operators.

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