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Absolutely Representing Systems of Exponentials in the Spaces of Infinitely-Differentiable Functions and Extendability in the Sense of Whitney
Exponentials Infinitely-Differentiable Functions Extendability
2010/3/1
Let Q be a compactum in~\mathbb{R}p, p\geqslant1, such that int Q\neq\varnothing and Q=\overline{ int Q}. Denote by C\infty[Q] the space of functions from C\infty( int Q) uniformly continuous in int Q...
ABSOLUTELY REPRESENTING SYSTEMS AND CONVOLUTION OPERATORS IN THE COMPLEX DOMAIN
CONVOLUTION OPERATORS ABSOLUTELY REPRESENTING SYSTEMS COMPLEX DOMAIN
2010/3/17
The author suggests a method of characterizing of the kernel of a convolution-type operator. The method is based on the exact description of nontrivial expansions of zero of an absolutely representing...