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001 978-3-319-39780-1
003 DE-He213
005 20190213151721.0
007 cr nn 008mamaa
008 160708s2016 gw | s |||| 0|eng d
020 _a9783319397801
_9978-3-319-39780-1
024 7 _a10.1007/978-3-319-39780-1
_2doi
050 4 _aQA403-403.3
072 7 _aPBKD
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aPBKD
_2thema
082 0 4 _a515.785
_223
100 1 _aJorgensen, Palle.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aExtensions of Positive Definite Functions
_h[electronic resource] :
_bApplications and Their Harmonic Analysis /
_cby Palle Jorgensen, Steen Pedersen, Feng Tian.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2016.
300 _aXXVI, 231 p. 48 illus., 9 illus. in color.
_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 ;
_v2160
520 _aThis monograph deals with the mathematics of extending given partial data-sets obtained from experiments; Experimentalists frequently gather spectral data when the observed data is limited, e.g., by the precision of instruments; or by other limiting external factors. Here the limited information is a restriction, and the extensions take the form of full positive definite function on some prescribed group. It is therefore both an art and a science to produce solid conclusions from restricted or limited data. While the theory of is important in many areas of pure and applied mathematics, it is difficult for students and for the novice to the field, to find accessible presentations which cover all relevant points of view, as well as stressing common ideas and interconnections. We have aimed at filling this gap, and we have stressed hands-on-examples.
650 0 _aHarmonic analysis.
650 0 _aTopological Groups.
650 0 _aFourier analysis.
650 0 _aFunctional analysis.
650 0 _aDistribution (Probability theory.
650 1 4 _aAbstract Harmonic Analysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12015
650 2 4 _aTopological Groups, Lie Groups.
_0http://scigraph.springernature.com/things/product-market-codes/M11132
650 2 4 _aFourier Analysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12058
650 2 4 _aFunctional Analysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12066
650 2 4 _aMathematical Physics.
_0http://scigraph.springernature.com/things/product-market-codes/M35000
650 2 4 _aProbability Theory and Stochastic Processes.
_0http://scigraph.springernature.com/things/product-market-codes/M27004
700 1 _aPedersen, Steen.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aTian, Feng.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319397795
776 0 8 _iPrinted edition:
_z9783319397818
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2160
856 4 0 _uhttps://doi.org/10.1007/978-3-319-39780-1
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c11638
_d11638