Titlebook: Blaschke Products and Their Applications; Javad Mashreghi,Emmanuel Fricain Book 2013 Springer Science+Business Media New York 2013 Blaschk

雪崩

空气

Overthrow

,Lehre vom Gleichgewicht der Körper,The aim of this chapter is to compare polynomials of one complex variable and finite Blaschke products and demonstrate that they share many similar properties. In fact, we collect many known results as well as some very recent results for finite Blaschke products here to establish a dictionary between polynomials and finite Blaschke products.

种植,培养

https://doi.org/10.1007/978-3-642-91880-3This paper is a survey on the emerging theory of truncated Toeplitz operators. We begin with a brief introduction to the subject and then highlight the many recent developments in the field since Sarason’s seminal paper (Oper. Matrices 1(4):491–526, .).

Uncultured

Approximating the Riemann Zeta-Function by Strongly Recurrent Functions,Bhaskar Bagchi has shown that the Riemann hypothesis holds if and only if the Riemann zeta-function .(.) is strongly recurrent in the strip 1/2<ℜ.<1. In this note we show that .(.) can be approximated by strongly recurrent functions sharing important properties with .(.).

流逝

,Bi-orthogonal Expansions in the Space ,,(0,∞),In this paper we deduce bi-orthogonal expansions in the space ..(0,∞) with respect to two special systems of functions from the corresponding expansions in the Hardy space . for the upper half-plane.

青石板

Blaschke Products as Solutions of a Functional Equation,In this paper, a family of Blaschke products, as non-trivial inner solutions of Schröder’s equation, is introduced. This observation leads to the construction of a surjective composition operator on an infinite dimensional model subspace of ...

Recessive

Hyperbolic Derivatives Determine a Function Uniquely,The notion of hyperbolic derivative for functions from the unit disc to itself is well known. Recently, Rivard has proposed a definition for higher-order derivatives. We prove that the sequence of hyperbolic derivatives of order . (.=0,1,2,…) of a function . determines this function uniquely.

售穴

,Norms of Composition Operators Induced by Finite Blaschke Products on Möbius Invariant Spaces,We obtain an asymptotic formula for the norms of composition operators induced by finite Blaschke products on analytic (quotient) Besov spaces in terms of their degree. We also compute the norms of such operators on the true Bloch and Dirichlet spaces.

自负的人

On the Computable Theory of Bounded Analytic Functions,The theory of bounded analytic functions is reexamined from the viewpoint of computability theory.