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On an Extension Problem for Polynomials.
- Source :
- Bulletin of the London Mathematical Society; Oct2001, Vol. 33 Issue 5, p599-605, 7p
- Publication Year :
- 2001
-
Abstract
- Consider the following problem: given complex numbers a1, …, an, find an L∞ function f of minimum norm whose Fourier coefficients ck(f) are equal to ak for k between 0 and n. We show the uniqueness of this function, and we estimate its norm. The operator-valued case is also discussed. 2000 Mathematics Subject Classification 30E05, 47A20, 47A56, 47A57. [ABSTRACT FROM PUBLISHER]
Details
- Language :
- English
- ISSN :
- 00246093
- Volume :
- 33
- Issue :
- 5
- Database :
- Complementary Index
- Journal :
- Bulletin of the London Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 80058975
- Full Text :
- https://doi.org/10.1112/S0024609301008268