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035   $a(DE-He213)978-3-642-05136-4
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100   $a20100715d2009      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aPartial Inner Product Spaces $eTheory and Applications /$fby J-P Antoine, Camillo Trapani
205   $a1st ed. 2009.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2009.
215   $a1 online resource (XX, 358 p. 11 illus.) 
225 1 $aLecture Notes in Mathematics,$x1617-9692 ;$v1986
300   $aBibliographic Level Mode of Issuance: Monograph
311 08$a9783642051357 
311 08$a3642051359 
320   $aIncludes bibliographical references (p. 337-348) and index.
327   $aGeneral Theory: Algebraic Point of View -- General Theory: Topological Aspects -- Operators on PIP-Spaces and Indexed PIP-Spaces -- Examples of Indexed PIP-Spaces -- Refinements of PIP-Spaces -- Partial #x002A;-Algebras of Operators in a PIP-Space -- Applications in Mathematical Physics -- PIP-Spaces and Signal Processing.
330   $aPartial Inner Product (PIP) Spaces are ubiquitous, e.g. Rigged Hilbert spaces, chains of Hilbert or Banach spaces (such as the Lebesgue spaces Lp over the real line), etc. In fact, most functional spaces used in (quantum) physics and in signal processing are of this type. The book contains a systematic analysis of PIP spaces and operators defined on them. Numerous examples are described in detail and a large bibliography is provided. Finally, the last chapters cover the many applications of PIP spaces in physics and in signal/image processing, respectively. As such, the book will be useful both for researchers in mathematics and practitioners of these disciplines.
410  0$aLecture Notes in Mathematics,$x1617-9692 ;$v1986
606   $aFunctional analysis
606   $aOperator theory
606   $aParticles (Nuclear physics)
606   $aQuantum field theory
606   $aComputer science$xMathematics
606   $aFunctional Analysis
606   $aOperator Theory
606   $aElementary Particles, Quantum Field Theory
606   $aMathematical Applications in Computer Science
615  0$aFunctional analysis.
615  0$aOperator theory.
615  0$aParticles (Nuclear physics)
615  0$aQuantum field theory.
615  0$aComputer science$xMathematics.
615 14$aFunctional Analysis.
615 24$aOperator Theory.
615 24$aElementary Particles, Quantum Field Theory.
615 24$aMathematical Applications in Computer Science.
676   $a515.7
700   $aAntoine$b Jean Pierre$0345551
701   $aTrapani$b C$g(Camillo)$0314921
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910483384703321
996   $aPartial inner product spaces$9780482
997   $aUNINA