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Composition operators on Paley-Wiener type spaces: Role of Composition Operators on Various Signal Spaces - Couverture souple

Mukherjee, Saikat

 
9783639663068: Composition operators on Paley-Wiener type spaces: Role of Composition Operators on Various Signal Spaces
Couverture souple
ISBN 10 : 3639663063 ISBN 13 : 9783639663068
Editeur : Scholars' Press, 2014

Synopsis

Sampling theory is an active field of research and it spans various fields from communication engineering to pure mathematics. Shannon's sampling theorems provide algorithms to reconstruct the bandlimited signals from their discrete sampling. In other words, these theories provide the crucial connection between continuous and discrete representations of information that enables one to store continuous signals as discrete, digital data with minimal error. In this book we have discussed extensively the theory of composition operators on various Hilbert spaces, especially reproducing kernel Hilbert spaces associated with positive definite kernels. The celebrated Paley-Wiener theorem naturally identifies the spaces of bandlimited signals with spaces of entire functions of exponential type. Here we mainly focused on boundedness of composition and weighted composition operators on these spaces.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

Sampling theory is an active field of research and it spans various fields from communication engineering to pure mathematics. Shannon's sampling theorems provide algorithms to reconstruct the bandlimited signals from their discrete sampling. In other words, these theories provide the crucial connection between continuous and discrete representations of information that enables one to store continuous signals as discrete, digital data with minimal error. In this book we have discussed extensively the theory of composition operators on various Hilbert spaces, especially reproducing kernel Hilbert spaces associated with positive definite kernels. The celebrated Paley-Wiener theorem naturally identifies the spaces of bandlimited signals with spaces of entire functions of exponential type. Here we mainly focused on boundedness of composition and weighted composition operators on these spaces.

Biographie de l'auteur

Dr. Saikat Mukherjee holds a Ph.D. degree in mathematics from University of Wyoming. He was an assistant professor at University of Minnesota-Morris before he moved to India to join National Institute of Technology, Meghalaya as an assistant professor of mathematics. His research interests lie in functional analysis, operator theory.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Scholars' Press
Date d'édition
2014
Langue
anglais
ISBN 10 
3639663063
ISBN 13 
9783639663068
Reliure
Broché
Nombre de pages
88
Coordonnées du fabricant
non disponible
Personne responsable
non disponible