Harmonic Analysis and Boundary Value Problems in the Complex Domain (Operator Theory: Advances and Applications)

Djrbashian, M.M.

ISBN 10: 376432855X / ISBN 13: 9783764328559

Verlag: Birkhäuser Basel, 1993

Beschreibung

Bestandsnummer des Verkäufers I-9783764328559

Bibliografische Details

• Titel: Harmonic Analysis and Boundary Value Problems in the Complex Domain (Operator Theory: Advances and Applications)
• Verlag: Birkhäuser Basel
• Veröffentlichungsdatum: 1993
• Sprache: Englisch
• ISBN-10: 376432855X
• ISBN-13: 9783764328559
• Bindung: Hardcover
• Zustand: New

Über diesen Titel

Inhaltsangabe

The present book is a valuable continuation of the large cycle of the author's investigations on harmonic analysis in the complex domain. For certain sets of segments in the complex domain, the elegant and explicit apparatus of the biorthogonal Fourier type systems (basic systems in the Rieszian sense), is constructed by purely analytic methods of classical function theory. This is done using the remarkable asymptotic properties of the Mittag-Leffler type entire functions and new interpolation theorems for the Banach spaces of entire functions. It is especially noteworthy that at the same time the constructed basis systems are eigenfunctions for quite non-ordinary boundary value problems in the complex domain for differential equations of fractional order. Such boundary value problems, the solutions of which are carried through to a logical conclusion, i.e. up to the theorems of expansions into eigenfunctions, are considered in the book for the first time.

Reseña del editor

The present book is a valuable continuation of the large cycle of the author's investigations on harmonic analysis in the complex domain. For certain sets of segments in the complex domain, the elegant and explicit apparatus of the biorthogonal Fourier type systems (basis systems in the Rieszian sense), is constructed by purely analytic methods of classical function theory. This is done using the remarkable asymptotic properties of the Mittag-Leffler type entire functions and new interpolation theorems for the Banach spaces of entire functions. It is especially noteworthy that at the same time the constructed basis systems are eigenfunctions for quite non-ordinary boundary value problems in the complex domain for differential equations of fractional order. Such boundary value problems, the solutions of which are carried through to a logical conclusion, i.e. up to the theorems of expansions into eigenfunctions, are considered in the book for the first time.