On Rubel’s Problem in the Class of Linear Operators on the Space of Analytic Functions

Author:

Linchuk Yu. S.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Theory and Mathematics,Computational Mathematics

Reference9 articles.

1. Köthe, G.: Dualität in der Funktionentheorie. J. Reine Angew. Math. 191, 30–49 (1953)

2. Rubel, L.A.: Derivation pairs on the holomorphic functions. Funkcial. Ekvac. 10, 225–227 (1967)

3. Nandakumar, N.R.: A Note on Derivation Pairs. Proc. Amer. Math. Soc. 21, 535–539 (1969)

4. Nandakumar, N.R.: A note on the functional equation $$M(fg) = M(f)M(g) + L(f)L(g)$$ M ( f g ) = M ( f ) M ( g ) + L ( f ) L ( g ) on $$H(G)$$ H ( G ) . Rend. Sem. Fac. Sci. Univ. Cagliari. 68, 13–17 (1998)

5. Kannappan, Pl, Nandakumar, N.R.: On a cosine functional equation for operators on the algebra of analytic functions in a domain. Aeq. Math. 61, 233–238 (2001)

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1. Correction to: On generalized Rubel’s equation;Aequationes mathematicae;2018-03-30

2. On generalized Rubel’s equation;Aequationes mathematicae;2017-02-04

3. ON A GENERALIZED RUBEL'S OPERATOR EQUATION;MISKOLC MATH NOTES;2017

4. On Rubel type operator equations on the space of analytic functions;Rendiconti del Circolo Matematico di Palermo (1952 -);2016-09-22

5. A Description of Derivation Operators with Respect to Convolution of Generalized Gel’Fond-Leont’Ev Integration;Fractional Calculus and Applied Analysis;2015-08-01

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