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001 978-3-540-48652-7
003 DE-He213
005 20190213151819.0
007 cr nn 008mamaa
008 121227s1994 gw | s |||| 0|eng d
020 _a9783540486527
_9978-3-540-48652-7
024 7 _a10.1007/BFb0073511
_2doi
050 4 _aQA299.6-433
072 7 _aPBK
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aPBK
_2thema
082 0 4 _a515
_223
100 1 _aNillsen, Rodney.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aDifference Spaces and Invariant Linear Forms
_h[electronic resource] /
_cby Rodney Nillsen.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c1994.
300 _aXII, 192 p.
_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 ;
_v1586
505 0 _aGeneral and preparatory results -- Multiplication and difference spaces on R n -- Applications to differential and singular integral operators -- Results for L p spaces on general groups.
520 _aDifference spaces arise by taking sums of finite or fractional differences. Linear forms which vanish identically on such a space are invariant in a corresponding sense. The difference spaces of L2 (Rn) are Hilbert spaces whose functions are characterized by the behaviour of their Fourier transforms near, e.g., the origin. One aim is to establish connections between these spaces and differential operators, singular integral operators and wavelets. Another aim is to discuss aspects of these ideas which emphasise invariant linear forms on locally compact groups. The work primarily presents new results, but does so from a clear, accessible and unified viewpoint, which emphasises connections with related work.
650 0 _aGlobal analysis (Mathematics).
650 0 _aTopological Groups.
650 1 4 _aAnalysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12007
650 2 4 _aTopological Groups, Lie Groups.
_0http://scigraph.springernature.com/things/product-market-codes/M11132
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662171608
776 0 8 _iPrinted edition:
_z9783540583233
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1586
856 4 0 _uhttps://doi.org/10.1007/BFb0073511
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c11972
_d11972