Analytic Kramer kernels, Lagrange-type interpolation series and de Branges spaces
نویسندگان
چکیده
منابع مشابه
Interpolation Formulas with Derivatives in De Branges Spaces Ii
We consider the problem of reconstruction of entire functions of exponential type τ that are elements of certain weighted Lp(μ)-spaces from their values and the values of their derivatives up to order ν. In this paper we extend the interpolation results of [24] in which the case ν = 1 was solved. Using the theory of de Branges spaces we find a discrete set Tτ,ν of points on the real line and a ...
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SPACES, AND NORMS OF WEIGHTED COMPOSITION OPERATORS MICHAEL T. JURY Abstract. We prove that the norm of a weighted composition operator on the Hardy space H2 of the disk is controlled by the norm of the weight function in the de Branges-Rovnyak space associated to the symbol of the composition operator. As a corollary we obtain a new proof of the boundedness of composition operators on H2, and ...
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In many examples of de Branges spaces symmetry appears naturally. Presence of symmetry gives rise to a decomposition of the space into two parts, the ‘even’ and the ‘odd’ part, which themselves can be regarded as de Branges spaces. The converse question is to decide whether a given space is the ‘even’ part or the ‘odd’ part of some symmetric space, and, if yes, to describe the totality of all s...
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This paper presents the Gaussian subordination framework to generate optimal one-sided approximations to multidimensional real-valued functions by functions of prescribed exponential type. Such extremal problems date back to the works of Beurling and Selberg and provide a variety of applications in analysis and analytic number theory. Here we majorize and minorize (on RN ) the Gaussian x 7→ e−π...
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ژورنال
عنوان ژورنال: Complex Variables and Elliptic Equations
سال: 2013
ISSN: 1747-6933,1747-6941
DOI: 10.1080/17476933.2010.551206