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Periodic Differential Operators
ISBN-13:
9783034805285
Veröffentl:
2012
Einband:
eBook
Seiten:
220
Autor:
B. Malcolm Brown
Serie:
228, Operator Theory: Advances and Applications
eBook Typ:
PDF
eBook Format:
Reflowable eBook
Kopierschutz:
Digital Watermark [Social-DRM]
Sprache:
Englisch
Beschreibung:
This book surveys the theoretical foundations of periodic differential operators, and proceeds to offer a coherent review of recent results, relating in particular to the eigenvalue and spectral theory of the Hill and Dirac equations.
Periodic differential operators have a rich mathematical theory as well as important physical applications. They have been the subject of intensive development for over a century and remain a fertile research area. This book lays out the theoretical foundations and then moves on to give a coherent account of more recent results, relating in particular to the eigenvalue and spectral theory of the Hill and Dirac equations. The book will be valuable to advanced students and academics both for general reference and as an introduction to active research topics.
Preface.- 1 Floquet Theory.- 2 Oscillations.- 3 Asymptotics.- 4 Spectra.- 5 Perturbations.