Results 11 to 20 of about 267 (174)
Finite Blaschke products of contractions
Linear Algebra and its Applications, 2003 Let \(A\) be a contraction operator in the Hilbert space \(H\). The famous von Neumann inequality claims that \(\|\varphi(A)\|\leq \|\varphi\|_\infty\) for any function \(\varphi\) analytic in the disk \(|z|1\). The case when \(\varphi\) is a finite Blaschke product of the order \(n\) is under investigation in the present paper. The authors prove that \
Gau, Hwa-Long, Wu, Pei Yuan
openaire +3 more sources
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
core +4 more sources
Finite Blaschke Products as Compositions of Other Finite Blaschke Products
, 2012 22 ...
Carl C. Cowen
openaire +3 more sources
InstaMap: instant-NGP for cryo-EM density maps. [PDF]
Acta Crystallogr D Struct BiolCryo‐EM density‐map inference, with fixed pose and contrast transfer function, using a multi‐resolution hash‐encoding framework called instant‐NGP, is described, together with its extension to heterogeneity inference by bending space with a per‐image vector field.Despite the parallels between problems in computer vision and cryo‐electron microscopy ...
Woollard G +7 more
europepmc +2 more sources
Interpolation by a finite Blaschke product [PDF]
Proceedings of the American Mathematical Society, 1980 Rahman Younis
openaire +3 more sources
Decomposable Blaschke products of degree 2ⁿ
, 2023 We study the decomposability of a finite Blaschke product B of degree 2^n into n degree-2 Blaschke products, examining the connections between Blaschke products, the elliptical range theorem, Poncelet theorem, and the monodromy group. We show that if the
Gorkin, P. +11 more
core +1 more source
Complex Manifolds, 2017 This paper gives a full characterization of the reducing subspaces for the multiplication operator Mϕ on the Dirichlet space with symbol of finite Blaschke product ϕ of order 5I 6I 7.
Gu Caixing, Luo Shuaibing, Xiao Jie
doaj +1 more source
Interpolating Blaschke products and angular derivatives
, 2012 We show that to each inner function, there corresponds at least one interpolating Blaschke product whose angular derivatives have precisely the same behavior as the given inner function.
Gallardo Gutiérrez, Eva Antonia
core +2 more sources
Positive Polynomials and Boundary Interpolation with Finite Blaschke Products [PDF]
Computational Methods and Function Theory, 2021 AbstractThe famous Jones–Ruscheweyh theorem states that n distinct points on the unit circle can be mapped to n arbitrary points on the unit circle by a Blaschke product of degree at most $$n-1$$ n - 1 .
Kalmykov, Sergei, Nagy, Béla
openaire +1 more source
Iterates of Blaschke products and Peano curves [PDF]
, 2023 Let f be a finite Blaschke product with f(0) = 0 which is not a rotation and let fn be its n-th iterate. Given a sequence {an} of complex numbers consider F = Panfn.
Nicolau, Artur +1 more
core +1 more source