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pro vyhledávání: '"M. A. Sukhorolsky"'
System of Polynomials of Complex Variable Related to the Classical Systems of Orthogonal Polynomials
Publikováno v:
Ukrainian Mathematical Journal. 73:1752-1771
Autor:
M. A. Sukhorolsky
Publikováno v:
Journal of Mathematical Sciences. 228:35-52
The bases in the spaces of functions analytic in simply connected domains are constructed with the help of conformal mappings of these domains onto a circle. The obtained basis functions are biorthogonal to the Faber polynomials. By using the expansi
Autor:
V. V. Dostoyna, M. A. Sukhorolsky
Publikováno v:
Journal of Mathematical Sciences. 192:541-554
We consider one class of systems of functions biorthogonal on a closed contour in a complex domain. We study properties of these systems of functions and conditions for expandability of analytic functions in series in the basic system. Examples of ex