Metric domains, holomorphic mappings and nonlinear semigroups
Reich, Simeon ; Shoikhet, David
Abstr. Appl. Anal., Tome 3 (1998) no. 1-2, p. 203-228 / Harvested from Project Euclid
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We study nonlinear semigroups of holomorphic mappings on certain domains in complex Banach spaces. We examine, in particular, their differentiability and their representations by exponential and other product formulas. In addition, we also construct holomorphic retractions onto the stationary point sets of such semigroups.
Publié le : 1998-05-14
Classification:  Banach space,  Cauchy problem,  exponential formula,  holomorphic retraction,  hyperbolic metric,  infinitesimal generator,  nonlinear semigroup,  product formula,  resolvent,  Schwarz-Pick system,  stationary point set,  32H15,  34G20,  46G20,  47H17,  47H20 
@article{1049832689,
     author = {Reich, Simeon and Shoikhet, David},
     title = {Metric domains, holomorphic mappings and nonlinear semigroups},
     journal = {Abstr. Appl. Anal.},
     volume = {3},
     number = {1-2},
     year = {1998},
     pages = { 203-228},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1049832689}
}

Reich, Simeon; Shoikhet, David. Metric domains, holomorphic mappings and nonlinear semigroups. Abstr. Appl. Anal., Tome 3 (1998) no. 1-2, pp.  203-228. http://gdmltest.u-ga.fr/item/1049832689/