Zobrazeno 1 - 5
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pro vyhledávání: '"Ghaffari, Hamed Baghal"'
This paper is dedicated to the construction of multidimensional spherical monogenics. Firstly, we investigate the construction of monogenic functions in dimension $3$ by applying the Dirac operator to the orthonormal bases of spherical harmonics, res
Externí odkaz:
http://arxiv.org/abs/2406.04863
We develop some properties and the Bonnet formula for Clifford Gegenbauer polynomials. Then after we define and construct weighted Clifford prolate spheroidal wave functions. We then prove that they are orthogonal in a weighted function space.
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Externí odkaz:
http://arxiv.org/abs/2302.02748
In the present paper, we introduce the multidimensional Clifford prolate spheroidal wave functions (CPSWFs) defined on the unit ball as eigenfunctions of a Clifford differential operator and provide a Galerkin method for their computation as linear c
Externí odkaz:
http://arxiv.org/abs/2112.09897
Clifford-Legendre and Clifford-Gegenbauer polynomials are eigenfunctions of certain differential operators acting on functions defined on $m$-dimensional euclidean space ${\mathbb R}^m$ and taking values in the associated Clifford algebra ${\mathbb R
Externí odkaz:
http://arxiv.org/abs/2012.05469
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