TY  - BOOK
AU  - García García,Antonio
ED  - SpringerLink (Online service)
TI  - The Use of Frames in Sampling Theory
T2  - RSME Springer Series,
SN  - 9783031632426
AV  - QA299.6-433 
PY  - 2024///
CY  - Cham
PB  - Springer Nature Switzerland, Imprint: Springer
KW  - Mathematical analysis
KW  - Analysis
N1  - - 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
N2  - 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
UR  - https://doi.org/10.1007/978-3-031-63242-6
ER  -