Tkachenko, V. A. Transformation operator in spaces of entire functions. (English) Zbl 0431.30040 Sib. Math. J. 20, 109-118 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page MSC: 30H05 Spaces of bounded analytic functions of one complex variable 47E05 General theory of ordinary differential operators 46E10 Topological linear spaces of continuous, differentiable or analytic functions Keywords:spaces of entire functions; transformation operator Citations:Zbl 0405.30037 PDFBibTeX XMLCite \textit{V. A. Tkachenko}, Sib. Math. J. 20, 109--118 (1979; Zbl 0431.30040) Full Text: DOI References: [1] J. Delsartes, ?Sur certaines transformations fonctionelles relative aux equations lineaires aux derivees partielles du second ordre,? C. R. Acad. Sci. Paris,206, No. 1, 178-182 (1938). [2] J. Delsartes and J. L. Lions, ?Transmutations d’opèrateurs differentielles dans le domain complexe,? Comment. Math. Helv.,32, No. 2, 113-128 (1957). · Zbl 0080.29501 · doi:10.1007/BF02564574 [3] L. A. Sakhnovich, ?Inverse problem for differential operators of order n>2 with analytic coefficients,? Mat. Sb.,46, No. 1, 61-76 (1958). · Zbl 0084.28403 [4] M. K. Fage, ?Operator analytic functions of one independent variable,? Dokl. Akad. Nauk SSSR,112, No. 6, 1008-1011 (1957). · Zbl 0085.04601 [5] M. K. Fage, ?Operator analytic functions of one independent variable,? Tr. Mosk. Mat. O-va, No. 7, 227-268 (1958). · Zbl 0084.05304 [6] V. I. Matsaev, ?On the existence of a transformation operator for differential operators of higher order,? Dokl. Akad. Nauk SSSR,130, No. 3, 499-502 (1960). · Zbl 0089.06603 [7] B. M. Levitan, Theory of Generalized Translation Operators [in Russian], Nauka, Moscow (1973). · Zbl 0273.34010 [8] A. O. Gel’fond and A. F. Leont’ev, ?On a generalization of Fourier series,? Mat. Sb.,29, No. 3, 477-500 (1951). [9] M. M. Dzhrbashyan, Integral Representations and Transformations of Functions in the Complex Domain [in Russian], Nauka, Moscow (1966). · Zbl 0148.30002 [10] V. A. Tkachenko, ?On a transformation operator in spaces of entire functions of finite order,? in: Theory of Functions, Functional Analysis, and Their Applications [in Russian], No. 22 (1975), pp. 154-159. [11] I. F. Krasichkov, ?On closed ideals in locally convex algebras of entire functions,? Izv. Akad. Nauk SSSR, Ser. Mat.31, No. 1, 37-60 (1967). · Zbl 0152.13203 [12] I. F. Krasichkov, ?On closed ideals in locally convex algebras of entire functions,? Izv. Akad. Nauk SSSR, Ser. Mat.,32, No. 5, 1024-1032 (1968). · Zbl 0169.17803 [13] B. A. Taylor, ?Some locally convex spaces of entire functions,? Proc. Symp. Pure Math., II. Entire Functions and Related Parts Anal., Am. Math. Soc. Publ., 431-468 (1968). · Zbl 0181.13304 [14] I. F. Krasichkov, ?On closed ideals in locally convex algebras of entire functions, algebras of minimal type,? Sib. Mat. Zh.,9, No. 1, 77-96 (1968). · Zbl 0161.10804 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.