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The use of frames in Sampling Theory

Record Type:	Electronic resources : Monograph/item
Title/Author:	The use of frames in Sampling Theoryby Antonio García García.
Author:	García García, Antonio.
Published:	Cham :Springer Nature Switzerland :2024.
Description:	xvi, 302 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Sampling (Statistics)
Online resource:	https://doi.org/10.1007/978-3-031-63242-6
ISBN:	9783031632426$q(electronic bk.)

The use of frames in Sampling Theory
García García, Antonio.

The use of frames in Sampling Theory[electronic resource] /by Antonio García García. - Cham :Springer Nature Switzerland :2024. - xvi, 302 p. :ill. (some col.), digital ;24 cm. - RSME Springer series,v. 142509-8896 ;. - RSME Springer series ;v.1..

- 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.

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.

ISBN: 9783031632426$q(electronic bk.)

Standard No.: 10.1007/978-3-031-63242-6doiSubjects--Topical Terms:

182291
Sampling (Statistics)

LC Class. No.: QA276.6

Dewey Class. No.: 519.52

The use of frames in Sampling Theory
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520 $a 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.
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