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- Title
The Igusa Zeta Function Associated with a Composite Power Function on the Space of Rectangular Matrices.
- Authors
Khekalo, S. P.
- Abstract
On the space of real rectangular n × m matrices, we introduce a composite power function and study the zeta integral associated with it. We describe the properties of the Igusa zeta function on the basis of the properties of a generalized composite power function and establish a functional relation for the zeta integral. As a result, the Fourier transform of a generalized composite power function is found in explicit form.
- Subjects
ZETA functions; JUNCUS effusus; MATRICES (Mathematics); ALGEBRA; INTEGRALS
- Publication
Mathematical Notes, 2005, Vol 78, Issue 5/6, p719
- ISSN
0001-4346
- Publication type
Article
- DOI
10.1007/s11006-005-0175-z