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020 _a9783031024320
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024 7 _a10.1007/978-3-031-02432-0
_2doi
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072 7 _aPB
_2bicssc
072 7 _aMAT000000
_2bisacsh
072 7 _aPB
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082 0 4 _a510
_223
100 1 _aCalviño-Louzao, Esteban.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_981276
245 1 0 _aAspects of Differential Geometry V
_h[electronic resource] /
_cby Esteban Calviño-Louzao, Eduardo García-Río, Peter Gilkey, JeongHyeong Park, Ramón Vázquez-Lorenzo.
250 _a1st ed. 2021.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2021.
300 _aXVI, 140 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSynthesis Lectures on Mathematics & Statistics,
_x1938-1751
505 0 _aPreface -- Acknowledgments -- Functional Analysis -- Elliptic Operator Theory -- Potential Theory -- Complex Geometry -- Bibliography -- Authors' Biographies -- Index.
520 _aBook V completes the discussion of the first four books by treating in some detail the analytic results in elliptic operator theory used previously. Chapters 16 and 17 provide a treatment of the techniques in Hilbert space, the Fourier transform, and elliptic operator theory necessary to establish the spectral decomposition theorem of a self-adjoint operator of Laplace type and to prove the Hodge Decomposition Theorem that was stated without proof in Book II. In Chapter 18, we treat the de Rham complex and the Dolbeault complex, and discuss spinors. In Chapter 19, we discuss complex geometry and establish the Kodaira Embedding Theorem.
650 0 _aMathematics.
_911584
650 0 _aStatistics .
_931616
650 0 _aEngineering mathematics.
_93254
650 1 4 _aMathematics.
_911584
650 2 4 _aStatistics.
_914134
650 2 4 _aEngineering Mathematics.
_93254
700 1 _aGarcía-Río, Eduardo.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_981277
700 1 _aGilkey, Peter.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_981278
700 1 _aPark, JeongHyeong.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_981279
700 1 _aVázquez-Lorenzo, Ramón.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_981280
710 2 _aSpringerLink (Online service)
_981281
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031002786
776 0 8 _iPrinted edition:
_z9783031013041
776 0 8 _iPrinted edition:
_z9783031035609
830 0 _aSynthesis Lectures on Mathematics & Statistics,
_x1938-1751
_981282
856 4 0 _uhttps://doi.org/10.1007/978-3-031-02432-0
912 _aZDB-2-SXSC
942 _cEBK
999 _c85145
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