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Holomorphic Spaces

Spaces of holomorphic functions have been a prominent theme in analysis since early in the twentieth century. Of interest to complex;

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Complex Analysis

of holomorphic functions, the Bergman kernel, and unbounded operators on Hilbert spaces to tackle the theory of several variables, in particular the;

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Holomorphic Foliations with Singularities

projective spaces. A final chapter brings recent questions in the field, as holomorphic flows on Stein spaces and transversely homogeneous;

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Spaces of Holomorphic Functions in the Unit Ball

Can be used as a graduate text Contains many exercises Contains new results;...

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Holomorphy and Calculus in Normed Spaces

This book presents a systematic introduction to the theory of holomorphic mappings in normed spaces which has been scattered throughout the;

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Sub-Hardy Hilbert Spaces In The Unit Disk

of Hilbert spaces of holomorphic functions in the unit disk. Besides possessing a fascinating internal structure, they play a role in several basic;

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Mathematical Sciences Research Institute Publications

Spaces of holomorphic functions have been a prominent theme in analysis since early in the twentieth century. Of interest to complex;

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Nonlinear Semigroups, Fixed Points, And Geometry Of Domains In Banach Spaces

respect to hyperbolic metrics (in particular, holomorphic self-mappings of domains in Banach spaces). The exposition is organized in a readable;

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The Dirichlet Space and Related Function Spaces

on Besov spaces of holomorphic functions on the complex unit ball, a class of Banach spaces generalizing the Dirichlet space. Additional;

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Hyperkahler Manifolds (2010 re-issue)

: hyperholomorphic sheaves and examples of hyperkahler manifolds; and hyperkahler structures on total spaces of holomorphic cotangent bundles. New paperback;

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Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces

Generalized Schur functions are scalar- or operator-valued holomorphic functions such that certain associated kernels have a finite number;

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Numerical Range of Holomorphic Mappings and Applications

This book describes recent developments as well as some classical results regarding holomorphic mappings. The book starts with a brief;

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Differential Equations in Banach Spaces

; holomorphic semigroups; and Volterra operator integral equations.;With contributions from international experts, Differential Equations in Banach;

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Differential Equations in Banach Spaces

; holomorphic semigroups; and Volterra operator integral equations.;With contributions from international experts, Differential Equations in Banach;

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Lectures on Riemann Surfaces - Jacobi Varieties

various subvarieties that arise in determining the dimensions of spaces of holomorphic cross-sections of complex line bundles. In Chapter 3, the;

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Lectures on Riemann Surfaces - Jacobi Varieties

various subvarieties that arise in determining the dimensions of spaces of holomorphic cross-sections of complex line bundles. In Chapter 3, the;

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Complex Algebraic Foliations

This book is a basic reference in the modern theory of holomorphic foliations, presenting the interplay between various aspects of the;

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Complex Kleinian Groups

of the Riemann sphere, and these can be regarded too as being groups of holomorphic automorphisms of the complex projective line CP1. When going;

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Birational Geometry and Moduli Spaces

This volume collects contributions from speakers at the INdAM Workshop Birational Geometry and Moduli Spaces , which was held in Rome on;

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Cambridge Studies in Advanced Mathematics

This book, first published in 2000, is a comprehensive introduction to holomorphic dynamics, that is the dynamics induced by the iteration;

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Riemann Surfaces by Way of Complex Analytic Geometry

, finite-dimensionality of spaces of sections of holomorphic line bundles of compact Riemann surfaces and the triviality of holomorphic line;

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Virtual Fundamental Cycles in Symplectic Topology

The method of using the moduli space of pseudo-holomorphic curves on a symplectic manifold was introduced by Mikhail Gromov in 1985. From;

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Handbook of Analytic Operator Theory

Handbook of Analytic Operator Theory thoroughly covers the subject of holomorphic function spaces and operators acting on them. The spaces;

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Quasiconformal Surgery in Holomorphic Dynamics

Since its introduction in the early 1980s quasiconformal surgery has become a major tool in the development of the theory of holomorphic;

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The Equidistribution Theory of Holomorphic Curves. (AM-64), Volume 64

This work is a fresh presentation of the Ahlfors-Weyl theory of holomorphic curves that takes into account some recent developments;

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The d-bar Neumann Problem and Schrödinger Operators

with results on the canonical solution operator to restricted to Bergman spaces of holomorphic d-bar functions in one and several complex;

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Selected Papers from the Journal of Differential Geometry 1967-2017, Volume 2

for holomorphic vector-fields; Armand Borel on metric properties of arithmetic quotients of symmetric spaces and an extension theorem; P. B. A;

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