000 03139nam a22005175i 4500
001 978-3-642-05136-4
003 DE-He213
005 20190213151904.0
007 cr nn 008mamaa
008 100715s2009 gw | s |||| 0|eng d
020 _a9783642051364
_9978-3-642-05136-4
024 7 _a10.1007/978-3-642-05136-4
_2doi
050 4 _aQA319-329.9
072 7 _aPBKF
_2bicssc
072 7 _aMAT037000
_2bisacsh
072 7 _aPBKF
_2thema
082 0 4 _a515.7
_223
100 1 _aAntoine, Jean-Pierre.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aPartial Inner Product Spaces
_h[electronic resource] :
_bTheory and Applications /
_cby Jean-Pierre Antoine, Camillo Trapani.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2009.
300 _aXX, 358 p. 11 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1986
505 0 _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.
520 _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.
650 0 _aFunctional analysis.
650 0 _aOperator theory.
650 0 _aMathematics.
650 1 4 _aFunctional Analysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12066
650 2 4 _aOperator Theory.
_0http://scigraph.springernature.com/things/product-market-codes/M12139
650 2 4 _aQuantum Field Theories, String Theory.
_0http://scigraph.springernature.com/things/product-market-codes/P19048
650 2 4 _aInformation and Communication, Circuits.
_0http://scigraph.springernature.com/things/product-market-codes/M13038
700 1 _aTrapani, Camillo.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642051609
776 0 8 _iPrinted edition:
_z9783642051357
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1986
856 4 0 _uhttps://doi.org/10.1007/978-3-642-05136-4
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c12237
_d12237