Abstract
Moment problems in analysis are a wide class of questions having great relevance as well in certain areas of pure mathematics like Fourier analysis, approximation, interpolation and operator theory and spectral theory of differential equations, but also in parts of applied mathematics, for instance in signal processing theory and in statistics. All moment problems considered have over a longer period evolved from the classical so-called Hamburger problem which is the following: Hamburger Problem: give necessary and sufficient condotions for a sequence of real numbers (Ck) ∞k=0 , c0=1, to ensure the existence and/or uniqueness of a nonnegative measure µ on the real line, such that - Equ1 (1.1)
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Diederich, K., Ohsawa, T. (2000). Moment problems for weighted Bergman kernels. In: Dolbeault, P., Iordan, A., Henkin, G., Skoda, H., Trépreau, JM. (eds) Complex Analysis and Geometry. Progress in Mathematics, vol 188. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8436-5_6
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DOI: https://doi.org/10.1007/978-3-0348-8436-5_6
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