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The use of frames in Sampling Theory

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	The use of frames in Sampling Theory/ by Antonio García García.
作者:	García García, Antonio.
出版者:	Cham :Springer Nature Switzerland : : 2024.,
面頁冊數:	xvi, 302 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:	Springer Nature eBook
標題:	Analysis. -
電子資源:	https://doi.org/10.1007/978-3-031-63242-6
ISBN:	9783031632426

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

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

669490
Analysis.

LC Class. No.: QA276.6

Dewey Class. No.: 519.52

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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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