ASYMPTOTIC BEHAVIOR OF GENERAL FUNCTION (Series on Analysis, Applications and Computation, Band 5) - Hardcover

Al Stevan Pilipovic Et

 
9789814366847: ASYMPTOTIC BEHAVIOR OF GENERAL FUNCTION (Series on Analysis, Applications and Computation, Band 5)
Hardcover
ISBN 10: 9814366846 ISBN 13: 9789814366847
Verlag: World Scientific, 2011

Inhaltsangabe

The asymptotic analysis has obtained new impulses with the general development of various branches of mathematical analysis and their applications. In this book, such impulses originate from the use of slowly varying functions and the asymptotic behavior of generalized functions. The most developed approaches related to generalized functions are those of Vladimirov, Drozhinov and Zavyalov, and that of Kanwal and Estrada. The first approach is followed by the authors of this book and extended in the direction of the S-asymptotics. The second approach -- of Estrada, Kanwal and Vindas -- is related to moment asymptotic expansions of generalized functions and the Ces'aro behavior. The main features of this book are the uses of strong methods of functional analysis and applications to the analysis of asymptotic behavior of solutions to partial differential equations, Abelian and Tauberian type theorems for integral transforms as well as for the summability of Fourier series and integrals. The book can be used by applied mathematicians, physicists, engineers and others who use classical asymptotic methods and wish to consider non-classical objects (generalized functions) and their asymptotics now in a more advanced setting.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Von der hinteren Coverseite

The asymptotic analysis has obtained new impulses with the general development of various branches of mathematical analysis and their applications. In this book, such impulses originate from the use of slowly varying functions and the asymptotic behavior of generalized functions. The most developed approaches related to generalized functions are those of Vladimirov, Drozhinov and Zavyalov, and that of Kanwal and Estrada. The first approach is followed by the authors of this book and extended in the direction of the S-asymptotics. The second approach of Estrada, Kanwal and Vindas is related to moment asymptotic expansions of generalized functions and the Ces'aro behavior. The main features of this book are the uses of strong methods of functional analysis and applications to the analysis of asymptotic behavior of solutions to partial differential equations, Abelian and Tauberian type theorems for integral transforms as well as for the summability of Fourier series and integrals. The book can be used by applied mathematicians, physicists, engineers and others who use classical asymptotic methods and wish to consider non-classical objects (generalized functions) and their asymptotics now in a more advanced setting.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
World Scientific
Erscheinungsdatum
2011
Sprache
Englisch
ISBN 10 
9814366846
ISBN 13 
9789814366847
Einband
Gebundene Ausgabe
Anzahl der Seiten
310
Kontakt zum Hersteller
preigu GmbH & Co. KG
mail@preigu.de

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