000			01918nam a2200277 a 4500
001			vtls000000781
003			VRT
005			20250102225216.0
008			081020s2002 gw a | 001 0 eng
020			_a3540438467
039		9	_a201402040050 _bVLOAD _c201008020903 _dmalmash _c200811110922 _dvenkatrajand _c200810200908 _dNoora _y200810200905 _zNoora
050		4	_aQA3 _b.L28 1788
100	1		_aVasilʹev, Alexander, _d1962- _954298
245	1	0	_aModuli of Families of curves for Conformal and Quasiconformal Mappings / _cAlexander Vasilʹev.
260			_aBerlin ; _aLondon : _bSpringer, _cc2002.
300			_aix, 211 p. ; _bill. ; _c24 cm.
504			_aIncludes bibliographical references and index.
505			_aIntroduction.- Moduli of Families of Curves and Extremal Partitions.- Moduli in Extremal Problems for Conformal Mapping.- Moduli in Extremal Problems for Quasiconformal Mapping.-Moduli on Teichmuller Spaces.- References.- List of simbols.- Index.
520			_aThe monograph is concerned with the modulus of families of curves on Riemann surfaces and its applications to extremal problems for conformal, quasiconformal mappings, and the extension of the modulus onto Teichmuller spaces. The main part of the monograph deals with extremal problems for compact classes of univalent conformal and quasiconformal mappings. Many of them are grouped around two-point distortion theorems. Montel's functions and functions with fixed angular derivatives are also considered. The last portion of problems is directed to the extension of the modulus varying the complex structure of the underlying Riemann surface that sheds some new light on the metric problems of Teichmuller spaces.
650	0	0	_aFunctions of complex variables. _91564
650	0	0	_aModuli theory. _954299
650	0	0	_aConformal mapping. _954300
650	0	0	_aCurves. _949175
650	0	0	_aRiemann surfaces. _918021
942			_2lcc _n0 _cBK
999			_c26254 _d26254