Geodesic
The Igusa Zeta Function Associated with a Composite Power Function on the Space of Rectangular Matrices
Matematičeskie zametki, Tome 78 (2005) no. 5, pp. 773-791

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{MZM_2005_78_5_a12,
     author = {S. P. Khekalo},
     title = {The {Igusa} {Zeta} {Function} {Associated} with a {Composite} {Power} {Function} on the {Space} of {Rectangular} {Matrices}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {773--791},
     publisher = {mathdoc},
     volume = {78},
     number = {5},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2005_78_5_a12/}
}
TY  - JOUR
AU  - S. P. Khekalo
TI  - The Igusa Zeta Function Associated with a Composite Power Function on the Space of Rectangular Matrices
JO  - Matematičeskie zametki
PY  - 2005
SP  - 773
EP  - 791
VL  - 78
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2005_78_5_a12/
LA  - ru
ID  - MZM_2005_78_5_a12
ER  - 
%0 Journal Article
%A S. P. Khekalo
%T The Igusa Zeta Function Associated with a Composite Power Function on the Space of Rectangular Matrices
%J Matematičeskie zametki
%D 2005
%P 773-791
%V 78
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2005_78_5_a12/
%G ru
%F MZM_2005_78_5_a12
S. P. Khekalo. The Igusa Zeta Function Associated with a Composite Power Function on the Space of Rectangular Matrices. Matematičeskie zametki, Tome 78 (2005) no. 5, pp. 773-791. http://geodesic.mathdoc.fr/item/MZM_2005_78_5_a12/