Results 41 to 50 of about 267 (174)

Conformal optimization of eigenvalues on surfaces with symmetries

Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract Given a conformal action of a discrete group on a Riemann surface, we study the maximization of Laplace and Steklov eigenvalues within a conformal class, considering metrics invariant under the group action. We establish natural conditions for the existence and regularity of maximizers. Our method simplifies the previously known techniques for
Denis Vinokurov
wiley   +1 more source

Dual spaces of geodesic currents

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract Every geodesic current on a hyperbolic surface has an associated dual space. If the current is a lamination, this dual embeds isometrically into a real tree. We show that, in general, the dual space is a Gromov hyperbolic metric tree‐graded space, and express its Gromov hyperbolicity constant in terms of the geodesic current.
Luca De Rosa, Dídac Martínez‐Granado
wiley   +1 more source

Chebyshev-Blaschke products: Solutions to certain approximation problems and differential equations

, 2015
In this paper, we study a special kind of finite Blaschke products called Chebyshev-Blaschke products f(n,) (tau) which can be defined by the Jacobi cosine function cd(u, tau), where tau is an element of R(+)i.
Ng, Tuen Wai, Tsang, CY, Ng, TW, Tsang, Chiu Yin   +3 more
core   +1 more source

Interpolation and random interpolation in de Branges–Rovnyak spaces

Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.
Abstract The aim of this paper is to characterize universal and multiplier interpolating sequences for de Branges–Rovnyak spaces H(b)$\mathcal {H}(b)$ where the defining function b$b$ is a general non‐extreme rational function. Our results carry over to recently introduced higher order local Dirichlet spaces and thus generalize previously known results
Andreas Hartmann, Giuseppe Lamberti
wiley   +1 more source

Finite Blaschke products and the construction of rational Γ-inner functions [PDF]

Journal of Mathematical Analysis and Applications, 2017
35 pages. This is the revised version after referees'reports, Journal of Mathematical Analysis and Applications ...
Agler, Jim, Lykova, Zinaida A., Young, N.J.   +2 more
openaire   +5 more sources

Geometric inequalities, stability results and Kendall's problem in spherical space

Mathematika, Volume 71, Issue 4, October 2025.
Abstract In Euclidean space, the asymptotic shape of large cells in various types of Poisson‐driven random tessellations has been the subject of a famous conjecture due to David Kendall. Since shape is a geometric concept and large cells are identified by means of geometric size functionals, the resolution of the conjecture is inevitably connected with
Daniel Hug, Andreas Reichenbacher
wiley   +1 more source

Toeplitz-composition 𝐶*-algebras for certain finite Blaschke products [PDF]

Proceedings of the American Mathematical Society, 2010
Let R R be a finite Blaschke product of degree at least two with
Hamada, Hiroyasu, Watatani, Yasuo
openaire   +3 more sources

The geometry of finite Blaschke products: some duality results (Computer Algebra --Theory and its Applications) [PDF]

, 2019
We study geometrical properties of finite Blaschke products. For a Blaschke product B of degree d, the interior curve and the exterior curve are defined. Daepp et al. proved that the interior curve of B of degree 3 forms an ellipse.
Fujimura, Masayo
core  

Shabat-Blaschke products

, 2017
The aims of this thesis are to introduce a hyperbolic analogue of Grothendieck's dessins d'enfant, to give arithmetic properties of the coefficients of the Chebyshev-Blaschke products, and to prove some Landen-type identities for theta functions.
Chiu, Chung-tak, Kenneth, 招頌德
core   +1 more source

Interactions between universal composition operators and complex dynamics

Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract This paper is concerned with universality properties of composition operators Cf$C_f$, where the symbol f$f$ is given by a transcendental entire function restricted to parts of its Fatou set. We determine universality of Cf$C_f$ when f$f$ is restricted to (subsets of) Baker and wandering domains.
Vasiliki Evdoridou, Clifford Gilmore, Myrto Manolaki   +2 more
wiley   +1 more source