000 01619cam a2200265 a 4500
001 13347655
005 20250612095540.0
008 030922s2003 nyua b 001 0 eng d
020 _a9780367395339
040 _aCSL
_cCSL
041 _2eng
_aeng
084 _aB67 P3 NBHM
_qCSL
100 1 _aGraham, Ian
_eauthor.
_918922
245 1 0 _aGeometric function theory in one and higher dimensions
260 _aNew York :
_bMarcel Dekker,
_c2003.
300 _axv, 530 p. :
_bill. ;
_c24 cm.
440 0 _aMonographs and textbooks in pure and applied mathematics ;
_v255
_9812298
504 _aIncludes bibliography (p. 477-520) and index.
520 _aThis reference details valuable results that lead to improvements in existence theorems for the Loewner differential equation in higher dimensions, discusses the compactness of the analog of the Caratheodory class in several variables, and studies various classes of univalent mappings according to their geometrical definitions. It introduces the infinite-dimensional theory and provides numerous exercises in each chapter for further study. The authors present such topics as linear invariance in the unit disc, Bloch functions and the Bloch constant, and growth, covering and distortion results for starlike and convex mappings in Cn and complex Banach spaces.
650 0 _aGeometric function theory.
_9811647
650 0 _aUnivalent functions.
_9812402
650 0 _aFunctions of several complex variables.
_9812389
700 1 _aKohr, Gabriela.
_eco- author.
_9812671
942 _2CC
_n0
_cTEXL
_hB67 P3 NBHM
999 _c1431630
_d1431630