Sturm Liouville and Dirac Operators

'Et moi, ... si j'avait su comment en revenir, One service mathematics has rendered the je n'y serais point allC:.' human. race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'ttre of this series.

Klappentext

'Et moi, ... si j'avait su comment en revenir, One service mathematics has rendered the je n'y serais point allC:.' human. race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non­ linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com­ puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'ttre of this series.

Inhalt
one. Sturm-Liouville operators.- 1 Spectral theory in the regular case.- 2 Spectral theory in the singular case.- 3 The study of the spectrum.- 4 The distribution of the eigenvalues.- 5 Sharpening the asymptotic behaviour of the eigenvalues and the trace formulas.- 6 Inverse problems.- two. One-dimensional Dirac operators.- 7 Spectral theory in the regular case.- 8 Spectral theory in the singular case.- 9 The study of the spectrum.- 10 The solution of the Cauchy problem for the nonstationary Dirac system.- 11 The distribution of the eigenvalues.- 12 The inverse problem on the half-line, from the spectral function.- References.- Name Index.