A description of derivation operators with respect to convolution of generalized Gel'fond-Leont'ev integration
From MaRDI portal
Publication:2517203
DOI10.1515/fca-2015-0057zbMath1323.47042OpenAlexW2564519074MaRDI QIDQ2517203
S. S. Linchuk, Yurii Stepanovych Linchuk
Publication date: 17 August 2015
Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/fca-2015-0057
convolutionoperator equationspace of analytic functionsfractional calculus operatorsderivation operatorsgeneralized Gel'fond-Leont'ev integration
Convolution as an integral transform (44A35) Fractional derivatives and integrals (26A33) Linear operators on function spaces (general) (47B38) Linear composition operators (47B33) Multipliers in one variable harmonic analysis (42A45)
Related Items
On generalized Rubel's equation, Correction to: ``On generalized Rubel's equation, On transmutation operators of the generalized Bessel operator in spaces of analytic functions, On Rubel type operator equations on the space of analytic functions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On Rubel's problem in the class of linear operators on the space of analytic functions
- Characterizing the derivative and the entropy function by the Leibniz rule
- On some properties of Gel'fond-Leont'ev generalized integration operators
- Operator generalization of one Rubel's result
- Multiplicative derivations on \(C(X)\)
- Nonclassical convolutions and their uses
- From the hyper-Bessel operators of Dimovski to the generalized fractional calculus
- Commutants of the Pommiez operator
- A note on derivations of algebras of analytic functions.
- An Operator Equation Generalizing the Leibniz Rule for the Second Derivative
- Operator Functional Equations in Analysis
- Commutants of composition operators induced by a parabolic linear fractional automorphisms of the unit disk
