Results 11 to 20 of about 3,097 (85)
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
Extendability and domains of holomorphy in infinite-dimensional spaces
Annales Polonici Mathematici, 2019 Let \(E\) be a complex Banach space and \(\Omega\subset E\) a domain. Recall that a holomorphic function \(f\) in \(\Omega\) is said to be extendable if there is a domain \(U\subset E\) that meets \(\partial\Omega\) and a holomorphic function \(F\) on \(U\) that coincides with \(f\) on some connected component of \(\Omega \cap U.\) Let \(X(\Omega ...
Aron, R.M. +4 more
openaire +4 more sources
Some Applications of Infinite-Dimensional Holomorphy to Mathematical Physics
North-Holland Mathematical Library, 1986 Publisher Summary This chapter discusses some applications of infinite-dimensional holomorphy to mathematical physics. The concepts and results of infinite-dimensional holomorphy are important to mathematical physics whenever the physical systems under consideration involve an infinite number of degrees of freedom.
openaire +3 more sources
Surjective limits of locally convex spaces and their application to infinite dimensional holomorphy [PDF]
Bulletin de la Société mathématique de France, 1975 Sean Dineen
openaire +4 more sources
A Note on Modular Invariant Species Scale and Potentials
Fortschritte der Physik, Volume 71, Issue 10-11, November 2023., 2023 Abstract The species scale provides an upper bound for the ultraviolet cutoff of effective theories of gravity coupled to a number of light particle species. Modular invariant (super‐)potentials provide a simple and computable expression of the species scale as a function of the moduli in toroidal orbifold compactifications of type II and heterotic ...
Niccolò Cribiori, Dieter Lüst
wiley +1 more source
Geodesics in the space of relatively Kähler metrics
Journal of the London Mathematical Society, Volume 108, Issue 3, Page 1036-1081, September 2023., 2023 Abstract We derive the geodesic equation for relatively Kähler metrics on fibrations and prove that any two such metrics with fibrewise constant scalar curvature are joined by a unique smooth geodesic. We then show convexity of the log‐norm functional for this setting along geodesics, which yields simple proofs of Dervan and Sektnan's uniqueness result
Michael Hallam
wiley +1 more source
A two‐dimensional arithmetic André–Oort problem
Bulletin of the London Mathematical Society, Volume 55, Issue 3, Page 1459-1488, June 2023., 2023 Abstract We state and investigate an integral analogue of the André–Oort conjecture (in integral models of Shimura varieties). We establish an instance of this conjecture: the case of a modular curve, as a scheme over Z$\mathbf {Z}$. Our approach relies on equidistribution estimates related to subconvexity in analytic number theory and our result is ...
Rodolphe Richard
wiley +1 more source
Computing f‐divergences and distances of high‐dimensional probability density functions
Numerical Linear Algebra with Applications, Volume 30, Issue 3, May 2023., 2023 Abstract Very often, in the course of uncertainty quantification tasks or data analysis, one has to deal with high‐dimensional random variables. Here the interest is mainly to compute characterizations like the entropy, the Kullback–Leibler divergence, more general f$$ f $$‐divergences, or other such characteristics based on the probability density ...
Alexander Litvinenko +4 more
wiley +1 more source
The local period integrals and essential vectors
Mathematische Nachrichten, Volume 296, Issue 1, Page 339-367, January 2023., 2023 Abstract By applying the formula for essential Whittaker functions established by Matringe and Miyauchi, we study five integral representations for irreducible admissible generic representations of GLn over p‐adic fields. In each case, we show that the integrals achieve local formal L‐functions defined by Langlands parameters, when the test vector is ...
Yeongseong Jo
wiley +1 more source
Spectrum and envelope of holomorphy for infinite dimensional riemann domains
Mathematische Annalen, 1983 openaire +3 more sources