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

盡忠

Polynomials Versus Finite Blaschke Products,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.

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Recent Progress on Truncated Toeplitz Operators,This 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, .).

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https://doi.org/10.1007/978-3-662-25407-3ators with bounded measurable symbols, factorisation with an infinite index, compositions with Blaschke products, representation of functions with a given asymptotic behaviour of the argument in a neighbourhood of a discontinuity in the form of a composition of a continuous function with a Blaschke

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https://doi.org/10.1007/978-3-662-25407-3cuss two explicit formulae for .: when . has distinct zeroes or a single zero repeated . times. We relate the growth of the means . and . to “sampling means” . and .. It is shown, for products of degree two and three, that if the zeroes lie on the circle of radius |.|=.<1 with constant angle . betwe

META

https://doi.org/10.1007/978-3-642-91879-7aper we will introduce an analogous construction in the Hardy space of the upper half plane. The levels of the multiresolution are generated by localized Cauchy kernels on a special hyperbolic lattice in the upper half plane. This multiresolution has the following new aspects: the lattice which gene

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