Results 101 to 110 of about 10,326,050 (296)

A characterization of holomorphic bivariate functions of bounded index

, 2017
The following notion of bounded index for complex entire functions was presented by Lepson. function f(z) is of bounded index if there exists an integer N independent of z, such that max{l:0≤l≤N}|f(l)(z)|l!≥|f(n)(z)|n!for alln. $$ \max\limits_{\{l: 0\leq
R. Patterson, F. Nuray
semanticscholar   +1 more source

Cyclic branched covers of Seifert links and properties related to the ADE$ADE$ link conjecture

Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.
Abstract In this article, we show that all cyclic branched covers of a Seifert link have left‐orderable fundamental groups, and therefore admit co‐oriented taut foliations and are not L$L$‐spaces, if and only if it is not an ADE$ADE$ link up to orientation. This leads to a proof of the ADE$ADE$ link conjecture for Seifert links. When L$L$ is an ADE$ADE$
Steven Boyer, Cameron McA. Gordon, Ying Hu   +2 more
wiley   +1 more source

Bicomplex holomorphic functional calculus [PDF]

Mathematische Nachrichten, 2013
In this paper we introduce and study a functional calculus for bicomplex linear bounded operators. The study is based on the decomposition of bicomplex numbers and of linear operators using the two nonreal idempotents. We show that, due to the presence of zero divisors in the bicomplex numbers, the spectrum of a bounded operator is unbounded.
COLOMBO, FABRIZIO, SABADINI, IRENE MARIA, D. C. Struppa   +2 more
openaire   +4 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

Some remarks for a certain class of holomorphic functions at the boundary of the unit disc

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019
We consider a boundary version of the Schwarz Lemma on a certain class which isdenoted by K(alfa) . For the function f(z)=z+c2z2+.......which is defined in the unit disc Esuch that the function f (z) belongs to the class K(alfa) , we estimate from below ...
Tuğba Akyel, Bülent Nafi Örnek
doaj   +1 more source

On limits of sequences of holomorphic functions

Rocky Mountain Journal of Mathematics, 2013
one ...
openaire   +3 more sources

Structure of hyperbolic polynomial automorphisms of C2${\mathbb {C}^2}$ with disconnected Julia sets

Proceedings of the London Mathematical Society, Volume 130, Issue 6, June 2025.
Abstract For a hyperbolic polynomial automorphism of C2$\mathbb {C}^2$ with a disconnected Julia set, and under a mild dissipativity condition, we give a topological description of the components of the Julia set. Namely, there are finitely many “quasi‐solenoids” that govern the asymptotic behavior of the orbits of all nontrivial components.
Romain Dujardin, Mikhail Lyubich
wiley   +1 more source

Interaction of Reggeized Gluons in the Baxter-Sklyanin Representation

, 2001
We investigate the Baxter equation for the Heisenberg spin model corresponding to a generalized BFKL equation describing composite states of n Reggeized gluons in the multi-color limit of QCD.
A.N. Muller, E.A. Kuraev, E.A. Kuraev, E.K. Sklyanin, G.P. Korchemsky, H. J. de Vega, H.J. de Vega, I.S. Gradshteyn, J. Bartels, J. Bartels, J. Bartels, J. Bartels, J. Kwiecinski, J. Wosiek, L. N. Lipatov, L.A. Takhtajan, L.D. Faddeev, L.N. Lipatov, L.N. Lipatov, L.N. Lipatov, L.N. Lipatov, L.N. Lipatov, L.N. Lipatov, L.N. Lipatov, M. Lavrentev, M. Praszalowicz, M.A. Braun, N.N. Lebedev, P. Gauron, P. Gauron, R. Baxter, R. Baxter, R. Baxter, R.A. Janik, V.E. Korepin, V.S. Fadin, Vl.S. Dotsenko, Ya.Ya. Balitsky, Z. Maassarani   +38 more
core   +1 more source

Lp$L^p$‐norm bounds for automorphic forms via spectral reciprocity

Proceedings of the London Mathematical Society, Volume 130, Issue 6, June 2025.
Abstract Let g$g$ be a Hecke–Maaß cusp form on the modular surface SL2(Z)∖H$\operatorname{SL}_2(\mathbb {Z}) \backslash \mathbb {H}$, namely an L2$L^2$‐normalised non‐constant Laplacian eigenfunction on SL2(Z)∖H$\operatorname{SL}_2(\mathbb {Z}) \backslash \mathbb {H}$ that is additionally a joint eigenfunction of every Hecke operator. We prove the L4$L^
Peter Humphries, Rizwanur Khan
wiley   +1 more source

Linear Kierst-Szpilrajn theorems [PDF]

, 2005
We prove in this paper the following result which extends in a somewhat ‘linear’ sense a theorem by Kierst and Szpilrajn and which holds on many ‘natural’ spaces of holomorphic functions in the open unit disk D: There exist a dense linear manifold and a
Bernal González, Luis
core