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20220616094342.0 |
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140312s2014 riua b 001 0deng |
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|a 2014009022
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|a 9781470415648 (alk. paper)
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|a 147041564X (alk. paper)
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|a (CaEvSKY)sky259249812
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|a (OCoLC)873238182
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|a DLC
|b eng
|e rda
|c DLC
|d OCLCO
|d YDXCP
|d BTCTA
|d NDD
|d COF
|d SKYRV
|d UtOrBLW
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|a pcc
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|a EEMO
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|a QA387
|b .T36 2014
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082 |
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|a 512/.482
|2 23
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100 |
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|a Tao, Terence,
|d 1975-
|0 http://id.loc.gov/authorities/names/nr96033717
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245 |
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|a Hilbert's fifth problem and related topics /
|c Terence Tao.
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|a Providence, Rhode Island :
|b American Mathematical Society,
|c [2014]
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264 |
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|c ©2014
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300 |
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|a xiii, 338 pages :
|b illustration ;
|c 26 cm.
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336 |
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|a text
|b txt
|2 rdacontent
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|a unmediated
|b n
|2 rdamedia
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338 |
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|a volume
|b nc
|2 rdacarrier
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490 |
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|a Graduate studies in mathematics ;
|v volume 153
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|a Includes bibliographical references and index.
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|a Introduction -- Lie groups, Lie algebras, and the Baker-Campbell-Hausdorff formula -- Building Lie structure from representations and metrics -- Haar measure, the Peter-Weyl theorem, and compact or abelian groups -- Building metrics on groups, and the Gleason-Yamabe theorem -- The structure of locally compact groups -- Ultraproducts as a bridge between hard analysis and soft analysis -- Models of ultra approximate groups -- The microscopic structure of approximate groups -- Applications of the structural theory of approximate groups -- The Jordan-Schur theorem -- Nilpotent groups and nilprogressions -- Ado's theorem -- Associativity of the Baker-Campbell-Hausdorff-Dynkin law -- Local groups -- Central extensions of Lie groups, and cocycle averaging -- The Hilbert-Smith conjecture -- The Peter-Weyl theorem and nonabelian Fourier analysis -- Polynomial bounds via nonstandard analysis -- Loeb measure and the triangle removal lemma -- Two notes on Lie groups.
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600 |
1 |
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|a Hilbert, David,
|d 1862-1943.
|0 http://id.loc.gov/authorities/names/n50034850.
|0 http://id.loc.gov/authorities/names/n50034850
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650 |
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|a Lie groups.
|0 http://id.loc.gov/authorities/subjects/sh85076786.
|0 http://id.loc.gov/authorities/subjects/sh85076786
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650 |
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|a Lie algebras.
|0 http://id.loc.gov/authorities/subjects/sh85076782.
|0 http://id.loc.gov/authorities/subjects/sh85076782
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650 |
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|a Characteristic functions.
|0 http://id.loc.gov/authorities/subjects/sh85052333.
|0 http://id.loc.gov/authorities/subjects/sh85052333
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830 |
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|a Graduate studies in mathematics ;
|v v. 153.
|0 http://id.loc.gov/authorities/names/n92111274.
|0 http://id.loc.gov/authorities/names/n92111274
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|p Can Circulate
|a Michigan State University-Library of Michigan
|b Michigan State University
|c MSU Remote Storage
|d MSU Remote Storage
|t 0
|e QA387 .T36 2014
|h Library of Congress classification
|i Printed Material
|m 31293034060628
|n 1
|