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pro vyhledávání: '"Lakey, Joseph D."'
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
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
Autor:
Lakey, Joseph D., Hogan, Jeffrey A.
We establish frame inequalities for signals in Paley--Wiener spaces on two specific families of graphs consisting of combinations of cubes and cycles. The frame elements are localizations to cubes, regarded as clusters in the graphs, of vertex functi
Externí odkaz:
http://arxiv.org/abs/2110.15523
Autor:
Hogan, Jeffrey A., Lakey, Joseph D.
We study certain spaces of vertex functions on the Cayley graphs corresponding to N-fold products of the group of integers modulo m, where m=3, 4, or 5, that are invariant under the adjacency operator that maps a value at a given vertex to each of it
Externí odkaz:
http://arxiv.org/abs/2012.11752
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
Autor:
Hogan, Jeffrey A., Lakey, Joseph D.
The operator that first truncates to a neighborhood of the origin in the spectral domain then truncates to a neighborhood of the origin in the spatial domain is investigated in the case of Boolean cubes. This operator is self adjoint on a space of ba
Externí odkaz:
http://arxiv.org/abs/1812.08905
Autor:
Hogan, Jeffrey A.1 (AUTHOR) jeff.hogan@newcastle.edu.au, Lakey, Joseph D.2 (AUTHOR) jlakey@nmsu.edu
Publikováno v:
Mathematics (2227-7390). Dec2023, Vol. 11 Issue 23, p4714. 14p.
Autor:
Hogan, Jeffrey A., Lakey, Joseph D.
Publikováno v:
In Applied and Computational Harmonic Analysis July 2015 39(1):21-32
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