The Use of Frames in Sampling Theory
Series: RSME Springer Series;
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Product details:
- Publisher Springer Nature Switzerland
- Date of Publication 27 July 2025
- ISBN 9783031632440
- Binding Paperback
- See also 9783031632419
- No. of pages302 pages
- Size 235x155 mm
- Language English
- Illustrations XVI, 302 p. 14 illus., 12 illus. in color. 624
Categories
Long description:
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.
MoreTable of Contents:
- 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.
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