On Trigonometric-Like Decompositions of Functions with Respect to the Cyclic Group of Order n
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A. K. Kwaśniewski
Abstract
The cyclic group labelled family of α-projection operators implicitly present in [Ungar, J. Pure Appl. Math. 15: 301–304, 1984] is used as in [Ben Cheikh, Matematiche (Catania) 52: 365–378, 1997]–[Ben Cheikh, Appl. Math. Inform. 4: 30–53, 2000], [Kwaśniewski, Adv. Appl. Clifford Algebras 9: 41–54, 1999] for investigation of decomposition of functions with respect to the cyclic group of order n. Series of new identities thus arising are demonstrated and new perspectives for further investigation are indicated as for example in the case of q-extended special polynomials. The paper constitutes an example of the application of the method of projections introduced in [Muldoon, Ungar, Math. Mag. 69: 3–14, 1996]; see also references [Ben Cheikh, Matematiche (Catania) 52: 365–378, 1997]–[Ben Cheikh, Appl. Math. Inform. 4: 30–53, 2000].
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Articles in the same Issue
- The Infinite Dimensional Henstock Integral and Problems of Black-Scholes Expectation
- An Explicit Formula for Solutions of Some System of Linear Delay Difference Equations
- Existence and Controllability Results for Nonlinear Differential Inclusions with Nonlocal Conditions in Banach Spaces
- Results on Singular Distribution Products of Mikusiński Type
- A Quasistatic Contact Problem with Slip Dependent Coefficient of Friction for Elastic Materials
- Linear Fredholm Integral Equations and the Integral of Kurzweil
- On Trigonometric-Like Decompositions of Functions with Respect to the Cyclic Group of Order n
- The Existence and Uniqueness of Solution of One Coupled Plate Thermomechanics Problem
- On the Stationary Flow of the Power Law Fluid in 2D
