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Classical and discrete functional analysis with measure theory /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Classical and discrete functional analysis with measure theory // Martin Buntinas.
作者:	Buntinas, Martin,
面頁冊數:	1 online resource (xi, 458 pages) :digital, PDF file(s). :
附註:	Title from publisher's bibliographic system (viewed on 10 Jan 2022).
標題:	Measure theory. -
電子資源:	https://doi.org/10.1017/9781139524445
ISBN:	9781139524445 (ebook)

Classical and discrete functional analysis with measure theory /
Buntinas, Martin,

Classical and discrete functional analysis with measure theory /Martin Buntinas. - 1 online resource (xi, 458 pages) :digital, PDF file(s). - London Mathematical Society student texts ;101. - London Mathematical Society student texts ;81..

Title from publisher's bibliographic system (viewed on 10 Jan 2022).

Lebesgue measure -- Lebesgue integral -- Some calculus -- Abstract measures -- Metric and normed spaces -- Linear operators -- Fourier series -- Applications -- Sequence spaces -- Matrix maps, multipliers, and duality -- Summability.

Functional analysis deals with infinite-dimensional spaces. Its results are among the greatest achievements of modern mathematics and it has wide-reaching applications to probability theory, statistics, economics, classical and quantum physics, chemistry, engineering, and pure mathematics. This book deals with measure theory and discrete aspects of functional analysis, including Fourier series, sequence spaces, matrix maps, and summability. Based on the author's extensive teaching experience, the text is accessible to advanced undergraduate and first-year graduate students. It can be used as a basis for a one-term course or for a one-year sequence, and is suitable for self-study for readers with an undergraduate-level understanding of real analysis and linear algebra. More than 750 exercises are included to help the reader test their understanding. Key background material is summarized in the Preliminaries.

ISBN: 9781139524445 (ebook)Subjects--Topical Terms:

527848
Measure theory.

LC Class. No.: QA320 / .B83 2022

Dewey Class. No.: 515/.7

Classical and discrete functional analysis with measure theory /
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500 $a Title from publisher's bibliographic system (viewed on 10 Jan 2022).
505 0 $a Lebesgue measure -- Lebesgue integral -- Some calculus -- Abstract measures -- Metric and normed spaces -- Linear operators -- Fourier series -- Applications -- Sequence spaces -- Matrix maps, multipliers, and duality -- Summability.
520 $a Functional analysis deals with infinite-dimensional spaces. Its results are among the greatest achievements of modern mathematics and it has wide-reaching applications to probability theory, statistics, economics, classical and quantum physics, chemistry, engineering, and pure mathematics. This book deals with measure theory and discrete aspects of functional analysis, including Fourier series, sequence spaces, matrix maps, and summability. Based on the author's extensive teaching experience, the text is accessible to advanced undergraduate and first-year graduate students. It can be used as a basis for a one-term course or for a one-year sequence, and is suitable for self-study for readers with an undergraduate-level understanding of real analysis and linear algebra. More than 750 exercises are included to help the reader test their understanding. Key background material is summarized in the Preliminaries.
650 0 $a Measure theory. $3 527848
650 0 $a Functional analysis. $3 527706
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830 0 $a London Mathematical Society student texts ; $v 81. $3 1156767
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