This article is cited in 2 papers

The Igusa Zeta Function Associated with a Composite Power Function on the Space of Rectangular Matrices

S. P. Khekalo

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences

Abstract: On the space of real rectangular $(n\times m)$ 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.

UDC: 517.51

Received: 17.11.2004

DOI: 10.4213/mzm2633

 English version: Mathematical Notes, 2005, 78:5, 719–734

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