The Use of Frames in Sampling Theory / by Antonio García García.

Format:

Book

Author/Creator:

García García, Antonio, author.

Series:

RSME Springer Series, 2509-8896 ; 14

Language:

English

Subjects (All):

Mathematical analysis.

Analysis.

Local Subjects:

Analysis.

Physical Description:

1 online resource (314 pages)

Edition:

1st ed. 2024.

Place of Publication:

Cham : Springer Nature Switzerland : Imprint: Springer, 2024.

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.

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.

Other Format:

Print version: García García, Antonio The Use of Frames in Sampling Theory

ISBN:

9783031632426