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lgli/K:\!genesis\0day\kolxoz\80\M_Mathematics\MC_Calculus\MCf_Functional analysis\Gordon E.I. Nonstandard methods in commutative harmonic analysis (TMM164, AMS, 1997)(ISBN 0821804197)(600dpi)(T)(181s)_MCf_.djvu
Nonstandard Methods in Commutative Harmonic Analysis (Translations of Mathematical Monographs) 🔍
Gordon, E. I. (evgenii Izrailevich) , 1949- American Mathematical Society, Translations of mathematical monographs,, v. 164, Providence, R.I, Rhode Island, 1997
English [en] · Russian [ru] · DJVU · 1.6MB · 1997 · 📘 Book (non-fiction) · 🚀/lgli/lgrs/nexusstc/zlib · Save
description
This monograph discusses nonstandard analysis (NSA) and its applications to harmonic analysis on locally compact Abelian (LCA) groups. A new notion of approximation of topological groups by finite groups is introduced and investigated. Based on this notion, new results are obtained on convergence of finite Fourier transformations (FT) to the FT on an LCA group. These results, formulated in standard terms in the Introduction, are proved by means of NSA. The book also includes new results on the theory of relatively standard elements and extensions of results of $S$-integrable liftings in Loeb measure spaces to the case of $\sigma$-finite Loeb measures. Basic concepts of NSA are included.
Alternative filename
lgrsnf/K:\!genesis\0day\kolxoz\80\M_Mathematics\MC_Calculus\MCf_Functional analysis\Gordon E.I. Nonstandard methods in commutative harmonic analysis (TMM164, AMS, 1997)(ISBN 0821804197)(600dpi)(T)(181s)_MCf_.djvu
Alternative filename
lgli/M_Mathematics/MC_Calculus/MCf_Functional analysis/Gordon E.I. Nonstandard methods in commutative harmonic analysis (TMM164, AMS, 1997)(ISBN 0821804197)(600dpi)(T)(181s)_MCf_.djvu
Alternative filename
nexusstc/Nonstandard Methods in Commutative Harmonic Analysis/39583949293ece283890fe054caa9602.djvu
Alternative filename
zlib/Mathematics/Gordon, Evgenii Izrailevic/Nonstandard Methods in Commutative Harmonic Analysis_3372352.djvu
Alternative author
Evgenij I Gordon
Alternative author
Eugenii I Gordon
Alternative edition
American Mathematical Society, [N.p.], 2018
Alternative edition
United States, United States of America
metadata comments
kolxoz -- 80
metadata comments
lg2130648
metadata comments
{"isbns":["0821804197","9780821804193"],"last_page":166,"publisher":"American Mathematical Society","series":"Translations of mathematical monographs 164"}
metadata comments
Includes bibliographical references (p. 163-166).
Translated from the original Russian manuscript.
Alternative description
Discusses nonstandard analysis (NSA) and its applications to harmonic analysis on locally compact Abelian (LCA) groups. This monograph introduces a notion of approximation of topological groups by finite groups. It also includes basic concepts of NSA.
Alternative description
Content: Introduction Basic concepts of nonstandard analysis Nonstandard analysis of operators acting in spaces of measurable functions Nonstandard analysis of locally compact Abelian groups Bibliography.
Alternative description
E.i. Gordon. Translated From The Original Russian Manuscript. Includes Bibliographical References (p.163-166).
date open sourced
2017-10-15
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