Interpolation by sums of series of exponentials and global Cauchy problem for convolution operators

DOI10.1134/S106456241902008XzbMath1423.41003arXiv1810.00435OpenAlexW2951531105WikidataQ127678682 ScholiaQ127678682MaRDI QIDQ2313248

S. G. Merzlyakov, S. V. Popenov

Publication date: 18 July 2019

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.00435

Mathematics Subject Classification ID

Multidimensional problems (41A63) Interpolation in approximation theory (41A05)

Cites Work

• Unnamed Item
• A criterion for the fundamental principle to hold for invariant subspaces on bounded convex domains in the complex plane
• Differential-difference equations
• The multiple de la Vallée-Poussin problem on convex domains in the kernel of the convolution operator
• Multipoint Vallée Poussin problem for convolution operators with nodes defined inside an angle
• The multipoint de la Vallée-Poussin problem for a convolution operator
• A fundamental principle for invariant subspaces in convex domains

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