Approximation by simple partial fractions with constraints on the poles

Journal Article · Fri Nov 30 00:00:00 EST 2012 · Sbornik. Mathematics

DOI:https://doi.org/10.1070/SM2012V203N11ABEH004275· OSTI ID:22156586

Borodin, Petr A ^[1]

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1. M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Moscow (Russian Federation)

Under various constraints on a compact subset K of the complex plane C and a subset E subset of C disjoint from K, the problem of density in the space AC(K) (the space of functions that are continuous on a compact set K and analytic in its interior) of the set of simple partial fractions (logarithmic derivatives of polynomials) with poles in E is studied. The present investigation also involves examining some properties of additive subgroups of a Hilbert space. Bibliography: 19 titles.

• OSTI ID: 22156586
• Journal Information: Sbornik. Mathematics, Vol. 203, Issue 11; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
APPROXIMATIONS
DENSITY
HILBERT SPACE
POLYNOMIALS
SET THEORY