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- Continuous semigroups of holomorphic self-maps of the unit disc by Filippo Bracci, Manuel D. Contreras and Santiago Díaz-Madrigal
- Bull. Amer. Math. Soc. 59 (2022), 623-627
- Additional book information: Springer Monographs in Mathematics, Springer, Cham, xxvii+566 pp., ISBN 978-3-030-36781-7
References
- Marco Abate, The infinitesimal generators of semigroups of holomorphic maps, Ann. Mat. Pura Appl. (4) 161 (1992), 167–180. MR 1174816, DOI 10.1007/BF01759637
- Dov Aharonov, Simeon Reich, and David Shoikhet, Flow invariance conditions for holomorphic mappings in Banach spaces, Math. Proc. R. Ir. Acad. 99A (1999), no. 1, 93–104. MR 1883068
- Dov Aharonov, Mark Elin, Simeon Reich, and David Shoikhet, Parametric representations of semi-complete vector fields on the unit balls in $\textbf {C}^n$ and in Hilbert space, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 10 (1999), no. 4, 229–253 (English, with English and Italian summaries). MR 1767931
- Leandro Arosio, Filippo Bracci, Hidetaka Hamada, and Gabriela Kohr, An abstract approach to Loewner chains, J. Anal. Math. 119 (2013), 89–114. MR 3043148, DOI 10.1007/s11854-013-0003-4
- Earl Berkson and Horacio Porta, Semigroups of analytic functions and composition operators, Michigan Math. J. 25 (1978), no. 1, 101–115. MR 480965
- Filippo Bracci, Manuel D. Contreras, and Santiago Díaz-Madrigal, Continuous semigroups of holomorphic self-maps of the unit disc, Springer Monographs in Mathematics, Springer, Cham, [2020] ©2020. MR 4252032, DOI 10.1007/978-3-030-36782-4
- Filippo Bracci, Manuel D. Contreras, Santiago Díaz-Madrigal, and Hervé Gaussier, A characterization of orthogonal convergence in simply connected domains, J. Geom. Anal. 29 (2019), no. 4, 3160–3175. MR 4015433, DOI 10.1007/s12220-018-00109-8
- Filippo Bracci, Ian Graham, Hidetaka Hamada, and Gabriela Kohr, Variation of Loewner chains, extreme and support points in the class $S^0$ in higher dimensions, Constr. Approx. 43 (2016), no. 2, 231–251. MR 3472647, DOI 10.1007/s00365-015-9302-6
- F. Bracci, D. Kraus, and O. Roth, A new Schwarz–Pick lemma at the boundary and rigidity of holomorphic maps, arXiv:2003.02019, 2020.
- Mark Elin, Simeon Reich, and David Shoikhet, Numerical range of holomorphic mappings and applications, Birkhäuser/Springer, Cham, 2019. MR 3890097, DOI 10.1007/978-3-030-05020-7
- Mark Elin and David Shoikhet, Linearization models for complex dynamical systems, Operator Theory: Advances and Applications, vol. 208, Birkhäuser Verlag, Basel, 2010. Topics in univalent functions, functional equations and semigroup theory; Linear Operators and Linear Systems. MR 2683159, DOI 10.1007/978-3-0346-0509-0
- Simeon Reich and David Shoikhet, Nonlinear semigroups, fixed points, and geometry of domains in Banach spaces, Imperial College Press, London, 2005. MR 2022955, DOI 10.1142/9781860947148
- David Shoikhet, Semigroups in geometrical function theory, Kluwer Academic Publishers, Dordrecht, 2001. MR 1849612, DOI 10.1007/978-94-015-9632-9
Reviewer information
- Reviewer: David Shoikhet
- Affiliation: Holon Institute of Technology, Holon & Braude Academic College, Karmiel, Israel
- Email: davs@braude.ac.il
Additional Information
- Journal: Bull. Amer. Math. Soc. 59 (2022), 623-627
- DOI: https://doi.org/10.1090/bull/1780
- Published electronically: August 16, 2022
- Review Copyright: © Copyright 2022 American Mathematical Society