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Szegö-Radon transform for hypermonogenic functions.
- Source :
-
Journal of Geometry & Physics . Dec2021, Vol. 170, pN.PAG-N.PAG. 1p. - Publication Year :
- 2021
-
Abstract
- In this paper, we study a refinement of the Szegö-Radon transform in the hypermonogenic setting. Hypermonogenic functions form a subclass of monogenic functions arising in the study of a modified Dirac operator, which allows for weaker symmetries and also has a strong connection to the hyperbolic metric. In particular, we construct a projection operator from a module of hypermonogenic functions in R p + q onto a suitable submodule of plane waves parameterized by a vector on the unit sphere of R q. Moreover, we study the interaction of this Szegö-Radon transform with the generalized Cauchy-Kovalevskaya extension operator. Finally, we develop a reconstruction (inversion) method for this transform. [ABSTRACT FROM AUTHOR]
- Subjects :
- *MONOGENIC functions
*DIRAC operators
*PLANE wavefronts
*SPHERES
*SYMMETRY
Subjects
Details
- Language :
- English
- ISSN :
- 03930440
- Volume :
- 170
- Database :
- Academic Search Index
- Journal :
- Journal of Geometry & Physics
- Publication Type :
- Academic Journal
- Accession number :
- 153034600
- Full Text :
- https://doi.org/10.1016/j.geomphys.2021.104381