The Use of Frames in Sampling Theory

This book provides a comprehensive review of regular sampling based on frame theory in a separable Hilbert space. Thus, sampling theory has common features in almost all situations: classical theory, Kramer sampling theory, and finite sampling or sampling Hilbert–Schmidt operators. In addition, the...

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Bibliografiske detaljer
Hovedforfatter: García García, Antonio (Author)
Institution som forfatter: SpringerLink (Online service)
Format: Electronisk eBog
Sprog:engelsk
Udgivet: Cham : Springer Nature Switzerland : Imprint: Springer, 2024.
Udgivelse:1st ed. 2024.
Serier:RSME Springer Series, 14
Fag:
Online adgang:https://doi.org/10.1007/978-3-031-63242-6
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Beskrivelse
Summary:This book provides a comprehensive review of regular sampling based on frame theory in a separable Hilbert space. Thus, sampling theory has common features in almost all situations: classical theory, Kramer sampling theory, and finite sampling or sampling Hilbert–Schmidt operators. In addition, the transversality of sampling theory with other mathematical fields appears, in an easy way. The first three chapters of the book can be used as an introduction to sampling theory, while the rest of the chapters are addressed to introduce the interested reader in the research on the topic.
Fysisk beskrivelse:XVI, 302 p. 14 illus., 12 illus. in color. online resource.
ISBN:9783031632426
ISSN:2509-8896 ;
DOI:10.1007/978-3-031-63242-6