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An introduction to the theory of rep...
~
Paulsen, Vern I., (1951-)
An introduction to the theory of reproducing kernel Hilbert spaces[electronic resource] /
紀錄類型:
書目-電子資源 : Monograph/item
杜威分類號:
515.733
書名/作者:
An introduction to the theory of reproducing kernel Hilbert spaces/ Vern I. Paulsen, Mrinal Raghupathi.
作者:
Paulsen, Vern I.,
其他作者:
Raghupathi, Mrinal.
出版者:
Cambridge : : Cambridge University Press,, 2016.
面頁冊數:
x, 182 p. : : ill., digital ;; 24 cm.
標題:
Hilbert space - Textbooks.
標題:
Kernel functions
ISBN:
9781316219232
ISBN:
9781107104099
摘要、提要註:
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.
電子資源:
https://doi.org/10.1017/CBO9781316219232
An introduction to the theory of reproducing kernel Hilbert spaces[electronic resource] /
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 ;105..
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:
711586
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[electronic resource] /
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https://doi.org/10.1017/CBO9781316219232
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