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001 978-3-031-63242-6
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020 _a9783031632426
_9978-3-031-63242-6
024 7 _a10.1007/978-3-031-63242-6
_2doi
050 4 _aQA299.6-433
072 7 _aPBK
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aPBK
_2thema
100 1 _aGarcía García, Antonio.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_981343
245 1 4 _aThe Use of Frames in Sampling Theory
_h[electronic resource] /
_cby Antonio García García.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2024.
300 _aXVI, 302 p. 14 illus., 12 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 _aRSME Springer Series,
_x2509-8896 ;
_v14
505 0 _a- What does sampling theory mean? -- Basic sampling theory -- Sampling in shift-invariant subspaces -- A review on Kramer sampling theorem -- A generalized sampling theory -- Finite frames related to sampling in finite-dimensional U-invariant subspaces -- Sampling in shift-invariant-like subspaces of Hilbert-Schmidt operators.
520 _aThis book provides a comprehensive review of regular sampling based on frame theory in a separable Hilbert space. Thus, sampling theory has common features in almost all situations: classical theory, Kramer sampling theory, and finite sampling or sampling Hilbert–Schmidt operators. In addition, the transversality of sampling theory with other mathematical fields appears, in an easy way. The first three chapters of the book can be used as an introduction to sampling theory, while the rest of the chapters are addressed to introduce the interested reader in the research on the topic.
650 0 _aMathematical analysis.
_964178
650 1 4 _aAnalysis.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031632419
776 0 8 _iPrinted edition:
_z9783031632433
776 0 8 _iPrinted edition:
_z9783031632440
830 0 _aRSME Springer Series,
_x2509-8896 ;
_v14
_972920
856 4 0 _uhttps://doi.org/10.1007/978-3-031-63242-6
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
999 _c61940
_d61940