Results 21 to 30 of about 282 (130)

Dirac–Schrödinger operators, index theory and spectral flow

Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.
Abstract In this article, we study generalised Dirac–Schrödinger operators in arbitrary signatures (with or without gradings), providing a general KK$\textnormal {KK}$‐theoretic framework for the study of index pairings and spectral flow. We provide a general Callias Theorem, which shows that the index (or the spectral flow, or abstractly the K ...
Koen van den Dungen
wiley   +1 more source

On a higher dimensional worm domain and its geometric properties

Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.
Abstract We construct new three‐dimensional variants of the classical Diederich–Fornæss worm domain. We show that they are smoothly bounded, pseudoconvex, and have nontrivial Nebenhülle. We also show that their Bergman projections do not preserve the Sobolev space for sufficiently large Sobolev indices.
Steven G. Krantz, Marco M. Peloso, Caterina Stoppato   +2 more
wiley   +1 more source

Efficient optimization for L infinity-problems using pseudoconvexity

, 2007
In this paper we consider the problem of solving geometric reconstruction problems with the L ∞-norm. Previous work has shown that globally optimal solutions can be computed reliably for a series of such problems.
Fredrik Kahl, Kahl, Fredrik, Carl Olsson, Anders P. Eriksson, Olsson, C., Kahl, F., Eriksson, Anders P, Olsson, Carl, Eriksson, A., Eriksson, Anders P., Eriksson, Anders   +10 more
core   +1 more source

Uniformization of strictly pseudoconvex domains. II [PDF]

Izvestiya: Mathematics, 2005
It is shown that two strictly pseudoconvex Stein domains with real analytic boundaries have biholomorphic universal coverings provided that their boundaries are locally biholomorphically equivalent. This statement can be regarded as a higher dimensional analogue of the Riemann uniformization theorem.
Nemirovski, Stefan, Shafikov, Rasul
openaire   +2 more sources

CR$CR$ analysis via local uniform completion, a sharp maximum modulus principle and holomorphic extension

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

On the compactification of strongly pseudoconvex surfaces [PDF]

Proceedings of the American Mathematical Society, 1981
In this paper, we shall prove that the compactification of a strongly pseudoconvex surface is either a projective algebraic or an Inoue surface. Furthermore, we shall construct an example of a strongly pseudoconvex surface X
openaire   +4 more sources

Non‐cyclicity and polynomials in Dirichlet‐type spaces of the unit ball

Bulletin of the London Mathematical Society, Volume 56, Issue 12, Page 3905-3919, December 2024.
Abstract We give a description of the intersection of the zero set with the unit sphere of a polynomial that is zero‐free in the unit ball of Cn${\mathbb {C}}^n$. This description leads to a necessary condition for a polynomial to be cyclic in Dirichlet‐type spaces of the unit ball.
Dimitrios Vavitsas, Konstantinos Zarvalis   +1 more
wiley   +1 more source

The Sum of a Linear and a Linear Fractional Function: Pseudoconvexity on the Nonnegative Orthant and Solution Methods [PDF]

, 2012
The aim of the paper is to present sequential methods for a pseudoconvex optimization problem whose objective function is the sum of a linear and a linear fractional function and the feasible region is a polyhedron, not necessarily compact. Since the sum
MARTEIN, LAURA, CAROSI, LAURA
core   +1 more source

On Locally Uniformly $A$-Pseudoconvex Algebras

Rocky Mountain Journal of Mathematics, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abel, M., Kinani, A. El, Oudadess, M.
openaire   +2 more sources