UID:
almafu_9961612700202883
Format:
1 online resource (314 pages)
Edition:
1st ed. 2024.
ISBN:
9783031632426
Series Statement:
RSME Springer Series, 14
Content:
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.
Note:
- What does sampling theory mean? -- Basic sampling theory -- Sampling in shift-invariant subspaces -- A review on Kramer sampling theorem -- A generalized sampling theory -- Finite frames related to sampling in finite-dimensional U-invariant subspaces -- Sampling in shift-invariant-like subspaces of Hilbert-Schmidt operators.
Additional Edition:
Print version: García García, Antonio The Use of Frames in Sampling Theory Cham : Springer International Publishing AG,c2024 ISBN 9783031632419
Language:
English
DOI:
10.1007/978-3-031-63242-6
URL:
Volltext
(URL des Erstveröffentlichers)
