Results 21 to 30 of about 17,142 (213)

Approximation numbers of composition operators on Hp

open access: yesConcrete Operators, 2015
give estimates for the approximation numbers of composition operators on the Hp spaces, 1 ≤ p < ∞
Li Daniel   +2 more
doaj   +1 more source

Smale's mean value conjecture for finite Blaschke products [PDF]

open access: yes, 2016
Motivated by a dictionary between polynomials and finite Blaschke products, we study both Smale's mean value conjecture and its dual conjecture for finite Blaschke products in this paper.
Ng, Tuen-Wai, Zhang, Yongquan
core   +2 more sources

Pontryagin de Branges Rovnyak spaces of slice hyperholomorphic functions [PDF]

open access: yes, 2012
We study reproducing kernel Hilbert and Pontryagin spaces of slice hyperholomorphic functions which are analogs of the Hilbert spaces of analytic functions introduced by de Branges and Rovnyak.
Alpay, Daniel   +2 more
core   +4 more sources

A Novel Two-Dimensional Unwinding Decomposition for Image Signals

open access: yesIEEE Access, 2019
This paper presents a new two-dimensional (2D) signal analysis method, namely partial unwinding adaptive Fourier decomposition. Because of its efficiency and accuracy it has great ability in practice.
Yanting Li, Junwei Jin
doaj   +1 more source

Semicrossed products of the disk algebra and the Jacobson radical

open access: yes, 2012
We consider semicrossed products of the disk algebra with respect to endomorphisms defined by finite Blaschke products. We characterize the Jacobson radical of these operator algebras.
Anchalee Khemphet   +10 more
core   +1 more source

Recursive interpolating sequences

open access: yesOpen Mathematics, 2018
This paper is devoted to pose several interpolation problems on the open unit disk 𝔻 of the complex plane in a recursive and linear way. We look for interpolating sequences (zn) in 𝔻 so that given a bounded sequence (an) and a suitable sequence (wn ...
Tugores Francesc
doaj   +1 more source

Composition and decomposition of indestructible Blaschke products

open access: yes, 2013
We prove that the composition of two indestructible Blaschke products is again an indestructible Blaschke product. We also show that if an indestructible Blaschke product is the composition of two bounded analytic functions, then both functions are ...
Kraus, Daniela, Roth, Oliver
core   +1 more source

Critical points of inner functions, nonlinear partial differential equations, and an extension of Liouville's theorem

open access: yes, 2007
We establish an extension of Liouville's classical representation theorem for solutions of the partial differential equation $\Delta u=4 e^{2u}$ and combine this result with methods from nonlinear elliptic PDE to construct holomorphic maps with ...
Kraus, Daniela, Roth, Oliver
core   +1 more source

The radial behavior of Blaschke products [PDF]

open access: yesProceedings of the American Mathematical Society, 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 prescription of the radial cluster set at each point of a prescribed countable set on the unit ...
Belna, C. L., Colwell, P., Piranian, G.
openaire   +2 more sources

Best weighted approximation of some kernels on the real axis

open access: yesResearches in Mathematics
We calculate the exact value and find the polynomial of the best weighted polynomial approximation of kernels of the form $\frac {A+Bt}{(t^2+\lambda^2)^{s+1}}$, where $A$ and $B$ are fixed complex numbers, $\lambda>0$, $s\in {\mathbb N}$, in the mean ...
S.O. Chaichenko   +2 more
doaj   +1 more source

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