Results 51 to 60 of about 275 (154)
On linearization and uniqueness of preduals
Mathematische Nachrichten, Volume 298, Issue 3, Page 955-975, March 2025.Abstract We study strong linearizations and the uniqueness of preduals of locally convex Hausdorff spaces of scalar‐valued functions. Strong linearizations are special preduals. A locally convex Hausdorff space F(Ω)$\mathcal {F}(\Omega)$ of scalar‐valued functions on a nonempty set Ω$\Omega$ is said to admit a strong linearization if there are a ...
Karsten Kruse
wiley +1 more source
Arens Regularity of Banach Function Algebras and Decomposable Blaschke Products whose Degree is a Power of 2 [PDF]
, 2023 This thesis presents three pieces of work. Within the first two thirds of the thesis, we study Arens regularity of Banach algebras. We first study Arens regularity of weighted semigroup algebras that arise from totally ordered semilattices.
Choi, Yemon +2 more
core +1 more source
On the Fourier Coefficients of Powers of a Finite Blaschke Product
International Mathematics Research NoticesAbstract Given a finite Blaschke product $B$ we prove asymptotically sharp estimates on the $\ell ^{\infty }$-norm of the sequence of the Fourier coefficients of $B^{n}$ as $n$ tends to $\infty $. This norm decays as $n^{-1/N}$ for some $N\ge 3$.
Borichev, Alexander +2 more
openaire +2 more sources
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 +3 more
core +1 more source
Algebras of Blaschke products unimodular on trivial parts
, 1998 Let Ω be the set of all interpolating Blaschke products unimodular on the trivial Gleason parts of M(H∞ . Let Ωfi: be the subset of Ω consisting of elements having finitely many roots in each part except the open unit disk. Suppose E(resp.
Li, Kin Yin, Guillory, Carroll
core +1 more source
A Schwarz Lemma for the Pentablock. [PDF]
J Geom Anal, 2023 Alshehri NM, Lykova ZA.
europepmc +1 more source
, 2011 In a recent joint work with Mingxi Wang, a version of Ritt's theory on the factorization of finite Blaschke products has been developed. In this Ritt's theory on the unit disk, a special class of finite Blaschke products has been introduced as the ...
Ng, TW
core
The radial behavior of Blaschke products
, 1985 The paper extends results of G. T. Cargo and of C. L. Belna, F. W. Carroll and G. Piranian on the existence of Blaschke products with prescribed radial limits at a prescribed finite or countable set of points on the unit circle. The extension permits the
G. Piranian, P. Colwell, C. L. Belna
core +1 more source
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 +1 more source
Scenario-based analysis of the impacts of lake drying on food production in the Lake Urmia Basin of Northern Iran. [PDF]
Sci Rep, 2022 Feizizadeh B +5 more
europepmc +1 more source