Results 31 to 40 of about 3,097 (85)
Lie group structures on groups of smooth and holomorphic maps on non-compact manifolds [PDF]
, 2007 We study Lie group structures on groups of the form C^\infty(M,K)}, where M is a non-compact smooth manifold and K is a, possibly infinite-dimensional, Lie group. First we prove that there is at most one Lie group structure with Lie algebra C^\infty(M,k)
Chr. Wockel +20 more
core +4 more sources
Extension Phenomena for Holomorphic Geometric Structures [PDF]
, 2009 The most commonly encountered types of complex analytic G-structures and Cartan geometries cannot have singularities of complex codimension 2 or more.Comment: published ...
McKay, Benjamin
core +8 more sources
A general approach to infinite-dimensional holomorphy
Monatshefte f�r Mathematik, 1986 The purpose of the paper is to present a frame for a theory of holomorphic functions between locally convex spaces and bornological vector spaces respectively. Using continuous convergence [see \textit{E. Binz}, Lect. Notes Math. 469 (1975; Zbl 0306.54003)] instead of topologies on spaces of holomorphic functions a very general theory, which is ...
Bjon, S., Lindström, M.
openaire +2 more sources
Extending polynomials in maximal and minimal ideals [PDF]
, 2010 Given an homogeneous polynomial on a Banach space $E$ belonging to some maximal or minimal polynomial ideal, we consider its iterated extension to an ultrapower of $E$ and prove that this extension remains in the ideal and has the same ideal norm.
Carando, Daniel, Galicer, Daniel
core +3 more sources
Dynamics of non-convolution operators and holomorphy types [PDF]
, 2018 In this article we study the hypercyclic behavior of non-convolution operators defined on spaces of analytic functions of different holomorphy types over Banach spaces.
Muro, Luis Santiago Miguel +2 more
core +1 more source
Perturbation Theory of Schr\"odinger Operators in Infinitely Many Coupling Parameters
, 1999 In this paper we study the behavior of Hamilton operators and their spectra which depend on infinitely many coupling parameters or, more generally, parameters taking values in some Banach space. One of the physical models which motivate this framework is
Anja Schlömerkemper +13 more
core +2 more sources
Approximation of high-dimensional parametric PDEs [PDF]
, 2015 Parametrized families of PDEs arise in various contexts such as inverse problems, control and optimization, risk assessment, and uncertainty quantification. In most of these applications, the number of parameters is large or perhaps even infinite.
Cohen, Albert, Devore, Ronald
core +4 more sources
Stability of Sasaki-extremal metrics under complex deformations [PDF]
, 2012 We consider the stability of Sasaki-extremal metrics under deformations of the complex structure on the Reeb foliation. Given such a deformation preserving the action of a compact subgroup of the automorphism group of a Sasaki-extremal structure, a ...
Besse +31 more
core +3 more sources
Journal of the London Mathematical Society, Volume 111, Issue 5, May 2025.Abstract Using iterated uniform local completion, we introduce a notion of continuous CR$CR$ functions on locally closed subsets of reduced complex spaces, generalising both holomorphic functions and CR$CR$ functions on CR$CR$ submanifolds. Under additional assumptions of set‐theoretical weak pseudo‐concavity, we prove optimal maximum modulus ...
Mauro Nacinovich, Egmont Porten
wiley +1 more source
An exotic calculus of Berezin–Toeplitz operators
Mathematika, Volume 71, Issue 2, April 2025.Abstract We develop a calculus of Berezin–Toeplitz operators quantizing exotic classes of smooth functions on compact Kähler manifolds and acting on holomorphic sections of powers of positive line bundles. These functions (classical observables) are exotic in the sense that their derivatives are allowed to grow in ways controlled by local geometry and ...
Izak Oltman
wiley +1 more source