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010   $a3-319-05792-8
024 7 $a10.1007/978-3-319-05792-7
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035   $a(DE-He213)978-3-319-05792-7
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035   $a(MiAaPQ)EBC1782870
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100   $a20140621d2014      u|         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aPrinciples of Harmonic Analysis /$fby Anton Deitmar, Siegfried Echterhoff
205   $a2nd ed. 2014.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014.
215   $a1 online resource (330 p.)
225 1 $aUniversitext,$x0172-5939
300   $aDescription based upon print version of record.
311   $a3-319-05791-X 
320   $aIncludes bibliographical references and index.
327   $a1. Haar Integration -- 2. Banach Algebras -- 3. Duality for Abelian Groups -- 4. The Structure of LCA-Groups -- 5. Operators on Hilbert Spaces -- 6. Representations -- 7. Compact Groups -- 8. Direct Integrals -- 9. The Selberg Trace Formula -- 10. The Heisenberg Group -- 11. SL2(R) -- 12. Wavelets -- 13. p-adic numbers and adeles -- A. Topology -- B. Measure and Integration -- C: Functional Analysis.
330   $aThis book offers a complete and streamlined treatment of the central principles of abelian harmonic analysis: Pontryagin duality, the Plancherel theorem and the Poisson summation formula, as well as their respective generalizations to non-abelian groups, including the Selberg trace formula. The principles are then applied to spectral analysis of Heisenberg manifolds and Riemann surfaces. This new edition contains a new chapter on p-adic and adelic groups, as well as a complementary section on direct and projective limits. Many of the supporting proofs have been revised and refined. The book is an excellent resource for graduate students who wish to learn and understand harmonic analysis and for researchers seeking to apply it.
410  0$aUniversitext,$x0172-5939
606   $aHarmonic analysis
606   $aMathematics
606   $aVisualization
606   $aApplied mathematics
606   $aEngineering mathematics
606   $aAbstract Harmonic Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12015
606   $aVisualization$3https://scigraph.springernature.com/ontologies/product-market-codes/M14034
606   $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003
615  0$aHarmonic analysis.
615  0$aMathematics.
615  0$aVisualization.
615  0$aApplied mathematics.
615  0$aEngineering mathematics.
615 14$aAbstract Harmonic Analysis.
615 24$aVisualization.
615 24$aApplications of Mathematics.
676   $a515.2433
700   $aDeitmar$b Anton$4aut$4http://id.loc.gov/vocabulary/relators/aut$066861
702   $aEchterhoff$b Siegfried$f1960-$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910299991403321
996   $aPrinciples of Harmonic Analysis$92508619
997   $aUNINA