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000866273 020__ $$a9783030050207$$q(electronic book)
000866273 020__ $$a3030050203$$q(electronic book)
000866273 020__ $$z9783030050191
000866273 035__ $$aSP(OCoLC)on1090496591
000866273 035__ $$aSP(OCoLC)1090496591
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000866273 049__ $$aISEA
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000866273 08204 $$a515/.9$$223
000866273 1001_ $$aElin, Mark.
000866273 24510 $$aNumerical Range of Holomorphic Mappings and Applications /$$cMark Elin, Simeon Reich, David Shoikhet.
000866273 260__ $$aCham :$$bBirkhauser,$$c2019.
000866273 300__ $$a1 online resource (238 pages)
000866273 336__ $$atext$$btxt$$2rdacontent
000866273 337__ $$acomputer$$bc$$2rdamedia
000866273 338__ $$aonline resource$$bcr$$2rdacarrier
000866273 504__ $$aIncludes bibliographical references.
000866273 5050_ $$aIntro; Contents; Preface; Chapter 1 Semigroups of Linear Operators; 1.1 Linear operators. Spectrum and resolvent; 1.2 Continuous semigroups and their generators; 1.3 Numerical range of linear operators; 1.4 Analytic semigroups; 1.5 Cesàro and Abel averages of linear operators; 1.6 Abel averages: recent results; Chapter 2 Numerical Range; 2.1 Holomorphic mappings in Banach spaces; 2.2 Spectrum and resolvent of holomorphic mappings; 2.3 Numerical range; 2.4 Real part estimates; 2.5 Holomorphically dissipative and accretive mappings; 2.6 Growth estimates for the numerical range
000866273 5058_ $$a2.7 Filtration of dissipative mappingsChapter 3 Fixed Points of Holomorphic Mappings; 3.1 Fixed points in the unit disk; 3.2 Fixed points in the Hilbert ball; 3.3 Boundary fixed points and the horosphere function; 3.4 Canonical representation of the fixed point set; 3.5 Around the Earle-Hamilton fixed point theorem; 3.6 Inexact orbits of holomorphic mappings; 3.7 The Bohl-Poincaré-Krasnoselskii Theorem; 3.8 Fixed points of pseudo-contractive holomorphic mappings; Chapter 4 Semigroups of Holomorphic Mappings; 4.1 Generated semigroups; 4.2 Stationary points of semigroups
000866273 5058_ $$a4.3 Flow invariance conditions4.4 Semi-complete vector fields on bounded symmetric domains; 4.5 Rates of convergence of semigroups; 4.6 Semigroups and pseudo-contractive holomorphic mappings; 4.7 Semigroups on the Hilbert ball; Chapter 5 Ergodic Theory of Holomorphic Mappings; 5.1 General remarks; 5.2 Power bounded holomorphic mappings; 5.3 Ergodicity and fixed points; 5.4 Numerical range and power boundedness; 5.5 Dissipative and pseudo-contractive mappings; 5.6 Examples; Chapter 6 Some Applications; 6.1 Bloch radii; 6.2 Radii of starlikeness and spirallikeness
000866273 5058_ $$a6.3 Analytic extension of one-parameter semigroups6.4 Analytic extension of semigroups without stationary points; 6.5 Composition operators and semigroups; 6.6 Analytic semigroups of composition operators; 6.7 Semigroups of composition operators on Hp(II); Bibliography; Subject Index; Author Index
000866273 506__ $$aAccess limited to authorized users.
000866273 520__ $$aThis book describes recent developments as well as some classical results regarding holomorphic mappings. The book starts with a brief survey of the theory of semigroups of linear operators including the Hille-Yosida and the Lumer-Phillips theorems. The numerical range and the spectrum of closed densely defined linear operators are then discussed in more detail and an overview of ergodic theory is presented. The analytic extension of semigroups of linear operators is also discussed. The recent study of the numerical range of composition operators on the unit disk is mentioned. Then, the basic notions and facts in infinite dimensional holomorphy and hyperbolic geometry in Banach and Hilbert spaces are presented, L. A. Harris' theory of the numerical range of holomorphic mappings is generalized, and the main properties of the so-called quasi-dissipative mappings and their growth estimates are studied. In addition, geometric and quantitative analytic aspects of fixed point theory are discussed. A special chapter is devoted to applications of the numerical range to diverse geometric and analytic problems. 
000866273 588__ $$aDescription based on print version record.
000866273 650_0 $$aHolomorphic mappings.
000866273 7001_ $$aReich, Simeon.
000866273 7001_ $$aShoiykhet, David,$$d1953-
000866273 77608 $$iPrint version:$$aElin, Mark$$tNumerical Range of Holomorphic Mappings and Applications$$dCham : Birkhauser Verlag GmbH,c2019$$z9783030050191
000866273 852__ $$bebk
000866273 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-030-05020-7$$zOnline Access$$91397441.1
000866273 909CO $$ooai:library.usi.edu:866273$$pGLOBAL_SET
000866273 980__ $$aEBOOK
000866273 980__ $$aBIB
000866273 982__ $$aEbook
000866273 983__ $$aOnline
000866273 994__ $$a92$$bISE