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An introduction to the theory of rep...

Paulsen, Vern I., (1951-)

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An introduction to the theory of reproducing kernel Hilbert spaces

Record Type:	Electronic resources : Monograph/item
Title/Author:	An introduction to the theory of reproducing kernel Hilbert spaces/ Vern I. Paulsen, Mrinal Raghupathi.
Author:	Paulsen, Vern I.,
other author:	Raghupathi, Mrinal.
Published:	Cambridge :Cambridge University Press, : 2016.,
Description:	x, 182 p. :ill., digital ;24 cm.
Subject:	Hilbert space - Textbooks. -
Online resource:	https://doi.org/10.1017/CBO9781316219232
ISBN:	9781316219232

An introduction to the theory of reproducing kernel Hilbert spaces
Paulsen, Vern I.,1951-

An introduction to the theory of reproducing kernel Hilbert spaces[electronic resource] /Vern I. Paulsen, Mrinal Raghupathi. - Cambridge :Cambridge University Press,2016. - x, 182 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;152. - Cambridge studies in advanced mathematics ;152..

Reproducing kernel Hilbert spaces have developed into an important tool in many areas, especially statistics and machine learning, and they play a valuable role in complex analysis, probability, group representation theory, and the theory of integral operators. This unique text offers a unified overview of the topic, providing detailed examples of applications, as well as covering the fundamental underlying theory, including chapters on interpolation and approximation, Cholesky and Schur operations on kernels, and vector-valued spaces. Self-contained and accessibly written, with exercises at the end of each chapter, this unrivalled treatment of the topic serves as an ideal introduction for graduate students across mathematics, computer science, and engineering, as well as a useful reference for researchers working in functional analysis or its applications.

ISBN: 9781316219232Subjects--Topical Terms:

3391771
Hilbert space
--Textbooks.

LC Class. No.: QA322.4 / .P38 2016

Dewey Class. No.: 515.733

An introduction to the theory of reproducing kernel Hilbert spaces
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100 1 $a Paulsen, Vern I., $d 1951- $3 3391768
245 1 3 $a An introduction to the theory of reproducing kernel Hilbert spaces $h [electronic resource] / $c Vern I. Paulsen, Mrinal Raghupathi.
260 $a Cambridge : $b Cambridge University Press, $c 2016.
300 $a x, 182 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge studies in advanced mathematics ; $v 152
520 $a Reproducing kernel Hilbert spaces have developed into an important tool in many areas, especially statistics and machine learning, and they play a valuable role in complex analysis, probability, group representation theory, and the theory of integral operators. This unique text offers a unified overview of the topic, providing detailed examples of applications, as well as covering the fundamental underlying theory, including chapters on interpolation and approximation, Cholesky and Schur operations on kernels, and vector-valued spaces. Self-contained and accessibly written, with exercises at the end of each chapter, this unrivalled treatment of the topic serves as an ideal introduction for graduate students across mathematics, computer science, and engineering, as well as a useful reference for researchers working in functional analysis or its applications.
650 0 $a Hilbert space $v Textbooks. $3 3391771
650 0 $a Kernel functions $v Textbooks. $3 3391772
700 1 $a Raghupathi, Mrinal. $3 3391769
830 0 $a Cambridge studies in advanced mathematics ; $v 152. $3 3391770
856 4 0 $u https://doi.org/10.1017/CBO9781316219232