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020 _a9783540478997
_9978-3-540-47899-7
024 7 _a10.1007/BFb0078339
_2doi
050 4 _aQA299.6-433
072 7 _aPBK
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aPBK
_2thema
082 0 4 _a515
_223
245 1 0 _aComplex Analysis I
_h[electronic resource] :
_bProceedings of the Special Year held at the University of Maryland, College Park, 1985–86 /
_cedited by Carlos A. Berenstein.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c1987.
300 _aXVIII, 334 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 ;
_v1275
505 0 _aBazilevi? theorem and the growth of univalent functions -- Möbius invariant spaces of analytic functions -- Dubinin's symmetrization theorem -- Functions with rapidly decreasing negative fourier coefficients -- On the theory and applications of Qm-normal families of meromorphic functions -- Cauchy Transforms of measures and univalent functions -- Harmonic majorization, harmonic measure and minimal thinness -- Unramified coverings of hyperelliptic Riemann surfaces -- Arcs on which a univalent function has small magnitude -- Uniform and better-than-uniform elliptic approximations on unbounded sets -- Discrete convergence groups -- Representation and duality in weighted frechet spaces of entire functions -- Real zeros of derivatives of meromorphic functions and solutions of differential equations — A survey with problems and conjectures -- Some estimates for harmonic measures -- Hausdorff measures and removable sets -- Approximations of sobolev functions and related topics -- Inequalities for the hyperbolic metric and applications to geometric function theory -- Subharmonic functions with unilateral growth conditions -- Kirwan's conjecture -- On potential approximation of vector fields -- On tangential harmonic approximation and some related problems -- Unbounded quadrature domains.
520 _aThe past several years have witnessed a striking number of important developments in Complex Analysis. One of the characteristics of these developments has been to bridge the gap existing between the theory of functions of one and of several complex variables. The Special Year in Complex Analysis at the University of Maryland, and these proceedings, were conceived as a forum where these new developments could be presented and where specialists in different areas of complex analysis could exchange ideas. These proceedings contain both surveys of different subjects covered during the year as well as many new results and insights. The manuscripts are accessible not only to specialists but to a broader audience. Among the subjects touched upon are Nevanlinna theory in one and several variables, interpolation problems in Cn, estimations and integral representations of the solutions of the Cauchy-Riemann equations, the complex Monge-Ampère equation, geometric problems in complex analysis in Cn, applications of complex analysis to harmonic analysis, partial differential equations.
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
700 1 _aBerenstein, Carlos A.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662168714
776 0 8 _iPrinted edition:
_z9783540183563
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1275
856 4 0 _uhttps://doi.org/10.1007/BFb0078339
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
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