Results 1 to 10 of about 3,097 (85)
Representing measures and infinite-dimensional holomorphy
Journal of Mathematical Analysis and Applications, 2007 The authors consider some applications of the Bishop--De Leeuw theorem about representing measures to the situation of certain algebras of analytic functions on unit balls of Banach spaces. In particular, the Hardy spaces \(H^2(\mu)\) are studied.
Lopushansky, Oleh, Zagorodnyuk, Andriy
openaire +3 more sources
Infinite dimensional holomorphy via categorical differential calculus
Monatshefte f�r Mathematik, 1991 This paper provides a theory of infinite dimensional holomorphy which allows nonconvex domains U with empty interior. For an example of such U, consider the subset of H(\({\mathbb{C}},{\mathbb{C}})\) (usual Fréchet space) formed by all never vanishing maps \(\phi: {\mathbb{C}}\to {\mathbb{C}}\).
Nel, L.D., Min, K.C.
openaire +4 more sources
SPECTRAL THEORY, TENSOR PRODUCTS AND INFINITE DIMENSIONAL HOLOMORPHY [PDF]
Journal of the Korean Mathematical Society, 2004 This paper is an expository self-contained article on results concerning the construction of a vector-valued holomorphic functional calculus recently obtained by the author and by \textit{R. E. Harte} and \textit{C. Taylor} as coauthors in a series of three papers [Math. Proc. R. Ir. Acad. 101A, No. 2, 177--196 (2001; Zbl 1028.46076), ibid.
Sean Dineen
openaire +3 more sources
Strongly mixing convolution operators on Fr\'echet spaces of holomorphic functions [PDF]
, 2014 A theorem of Godefroy and Shapiro states that non-trivial convolution operators on the space of entire functions on $\mathbb{C}^n$ are hypercyclic. Moreover, it was shown by Bonilla and Grosse-Erdmann that they have frequently hypercyclic functions of ...
Muro, Santiago +2 more
core +2 more sources
Applications of Ultraproducts to Infinite Dimensional Holomorphy.
MATHEMATICA SCANDINAVICA, 1992 The purpose of this paper is to apply ultraproduct techniques to some problems in infinite dimensional holomorphy. The central problem we consider is the following: Given a continuous polynomial \(P\), or more generally, a holomorphic function, \(f\), defined on a Banach space \(X\), can we extend \(P\) or \(f\) to a larger space containing \(X ...
Lindström, Mikael, Ryan, R.A.
openaire +3 more sources
Real and discrete holomorphy : Introduction to an algebraic approach [PDF]
, 2007 We consider spaces for which there is a notion of harmonicity for complex valued functions defined on them. For instance, this is the case of Riemannian manifolds on one hand, and (metric) graphs on the other hand.
Barré, Sylvain, Zeghib, Abdelghani
core +7 more sources
Solving matrix models using holomorphy [PDF]
, 2003 We investigate the relationship between supersymmetric gauge theories with moduli spaces and matrix models. Particular attention is given to situations where the moduli space gets quantum corrected. These corrections are controlled by holomorphy.
D. Berenstein +41 more
core +3 more sources
Sparse Deterministic Approximation of Bayesian Inverse Problems [PDF]
, 2011 We present a parametric deterministic formulation of Bayesian inverse problems with input parameter from infinite dimensional, separable Banach spaces. In this formulation, the forward problems are parametric, deterministic elliptic partial differential ...
A M Stuart +12 more
core +3 more sources
Supersymmetric QCD: Exact Results and Strong Coupling [PDF]
, 2011 We revisit two longstanding puzzles in supersymmetric gauge theories. The first concerns the question of the holomorphy of the coupling, and related to this the possible definition of an exact (NSVZ) beta function.
A Kovner +35 more
core +2 more sources
Infinite dimensional holomorphic non-extendability and algebraic genericity [PDF]
, 2017 In this note, the linear structure of the family He(G) of holomorphic functions in a domain G of a complex Banach space that are not holomorphically continuable beyond the boundary of G is analyzed.
Bernal González, Luis +2 more
core +1 more source