Results 31 to 40 of about 4,423 (156)

On certain classes of Dirichlet series with real coefficients absolute convergent in a half-plane

Математичні Студії
For $h>0$, $\alpha\in [0,h)$ and $\mu\in {\mathbb R}$  denote by   $SD_h(\mu, \alpha)$ a class of absolutely convergent in the half-plane $\Pi_0=\{s:\, \text{Re}\,s\alpha$ for all $s\in \Pi_0$,}   \smallskip\noi and let  $\Sigma D_h(\mu, \alpha)$ be ...
M. M. Sheremeta
doaj   +1 more source

On close-to-pseudoconvex Dirichlet series

Математичні Студії
For a Dirichlet series of form $F(s)=\exp\{s\lambda_1\}+\sum\nolimits_{k=2}^{+\infty}f_k\exp\{s\lambda_k\}$ absolutely convergent in the half-plane $\Pi_0=\{s\colon \mathop{\rm Re}s0$ for all $k\ge 2$.
O. M. Mulyava, M. M. Sheremeta, M.G. Medvediev   +2 more
doaj   +1 more source

Embeddability of some strongly pseudoconvex CR manifolds

, 2004
We obtain an embedding theorem for compact strongly pseudoconvex CR manifolds which are bounadries of some complete Hermitian manifolds. We use this to compactify some negatively curved Kaehler manifolds with compact strongly pseudoconvex boundary.
Marinescu, G., Yeganefar, N.
core   +1 more source

Pseudoconvex domains: Bounded strictly plurisubharmonic exhaustion functions

Inventiones Mathematicae, 1977
The complex analysis of strictly pseudoconvex domains in IE" is rather well known, especially since the boundary regularity properties of solutions of the inhomogeneous Cauchy-Riemann equations 8c~=fl on such domains have been described more and more precisely and important consequences from this have been derived (for a survey of the results in this ...
DIEDERICH, K., Fornaess, J.E.
openaire   +1 more source

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

Boundary behavior of the Kobayashi metric near a point of infinite type [PDF]

, 2013
Under a potential-theoretical hypothesis named $f$-Property with $f$ satisfying $\displaystyle\int_t^\infty \dfrac{da}{a f(a)}
Khanh, Tran Vu
core  

Uniformization of strictly pseudoconvex domains

, 2004
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.
Nemirovski, Stefan, Shafikov, Rasul
core   +2 more sources

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

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

On Carleman and observability estimates for wave equations on time‐dependent domains

Proceedings of the London Mathematical Society, Volume 119, Issue 4, Page 998-1064, October 2019., 2019
Abstract We establish new Carleman estimates for the wave equation, which we then apply to derive novel observability inequalities for a general class of linear wave equations. The main features of these inequalities are that (a) they apply to a fully general class of time‐dependent domains, with timelike moving boundaries, (b) they apply to linear ...
Arick Shao
wiley   +1 more source