Abstract
We present several new results on the asymptotic behavior of nonlinear semigroups of holomorphic mappings on the open unit balls of complex Banach and Hilbert spaces.
Let X be a complex Banach space and let D ⊂ X be a domain (that is, an open connected subset of X). Recall that a mapping f:D → X is called holomorphic if it is Fréchet differentiable at each point of D [9]. The set of all holomorphic mappings from D into X will be denoted by Hol(D,X).
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Elin, M., Reich, S., Shoikhet, D. (2000). Asymptotic Behavior of Semigroups of Holomorphic Mappings. In: Balakrishnan, A.V. (eds) Semigroups of Operators: Theory and Applications. Progress in Nonlinear Differential Equations and Their Applications, vol 42. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8417-4_26
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DOI: https://doi.org/10.1007/978-3-0348-8417-4_26
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9558-3
Online ISBN: 978-3-0348-8417-4
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