About one class of bases in some spaces of functions analytical in a unit disk
- 33 Downloads
An abstract scheme of solution to the problem of constructing the unconditional bases of a special form in the Hilbert spaces of functions analytical in a unit disk is described. An application to the theory of infinite matrices in the l 2 space is given.
KeywordsUnconditional bases nonself-adjoint operators de Branges spaces sine-type function
Unable to display preview. Download preview PDF.
- 1.M. M. Dzhrbashyan, “On a canonical representation of the functions meromorphic in a unit disk,” Dokl. AN Arm. SSR, 3, No. 1, 3–9 (1945).Google Scholar
- 5.E. Janke, F. Emde, and F. Lösch, Tables of Higher Functions, McGraw-Hill, New York, 1960.Google Scholar
- 6.B. Ya. Levin, “Interpolation with entire functions of the exponential type,” Mat. Fiz. Funkts. Anal., Issue 1, 136–146 (1969).Google Scholar
- 8.B. Ya. Levin, Lectures on Entire Functions, Amer. Math. Soc., Providence, RI, 1996.Google Scholar