Clifford algebras, Fourier transforms and singular convolution operators on Lipschitz surfaces (Q1344578)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Clifford algebras, Fourier transforms and singular convolution operators on Lipschitz surfaces |
scientific article; zbMATH DE number 722310
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Clifford algebras, Fourier transforms and singular convolution operators on Lipschitz surfaces |
scientific article; zbMATH DE number 722310 |
Statements
Clifford algebras, Fourier transforms and singular convolution operators on Lipschitz surfaces (English)
0 references
18 July 1995
0 references
The authors extend the Fourier theory of functions of one variable to the case in higher dimensions, that is to extend a function of \(m\) real variables (with values in a complex Clifford algebra) and to extend its Fourier transform holomorphically to a function of \(m\) complex variables. Then they further prove some important properties of the Fourier transform and singular convolution operators.
0 references
Lipschitz surfaces
0 references
Clifford algebra
0 references
Fourier transform
0 references
singular convolution operators
0 references
