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 |