Displaying 81 – 100 of 194

Showing per page

Integral Representations of the Logarithmic Derivative of the Selberg Zeta Function

Gušić, Dženan (2010)

Mathematica Balkanica New Series

AMS Subj. Classification: MSC2010: 11F72, 11M36, 58J37We point out the importance of the integral representations of the logarithmic derivative of the Selberg zeta function valid up to the critical line, i.e. in the region that includes the right half of the critical strip, where the Euler product definition of the Selberg zeta function does not hold. Most recent applications to the behavior of the Selberg zeta functions associated to a degenerating sequence of finite volume, hyperbolic manifolds of...

Intégrales premières d'une forme de Pfaff analytique

Jean-François Mattei, Robert Moussu (1978)

Annales de l'institut Fourier

Soit ω un germe en 0 C n de 1-forme différentielle holomorphe vérifiant la condition d’intégrabilité ω d ω = 0 . S’il existe un germe h d’application holomorphe de ( C r , 0 ) dans ( C n , 0 ) qui possède les deux propriétés suivantes :a) h * ( ω ) a une intégrale première formelle,b) la codimension du lieu singulier S ( h * ( ω ) ) de h * ( ω ) est supérieure ou égale à 2,alors ω a une intégrale première holomorphe.

Integrating central extensions of Lie algebras via Lie 2-groups

Christoph Wockel, Chenchang Zhu (2016)

Journal of the European Mathematical Society

The purpose of this paper is to show how central extensions of (possibly infinite-dimensional) Lie algebras integrate to central extensions of étale Lie 2-groups in the sense of [Get09, Hen08]. In finite dimensions, central extensions of Lie algebras integrate to central extensions of Lie groups, a fact which is due to the vanishing of π 2 for each finite-dimensional Lie group. This fact was used by Cartan (in a slightly other guise) to construct the simply connected Lie group associated to each finite-dimensional...

Integration over homogeneous spaces for classical Lie groups using iterated residues at infinity

Magdalena Zielenkiewicz (2014)

Open Mathematics

Using the Berline-Vergne integration formula for equivariant cohomology for torus actions, we prove that integrals over Grassmannians (classical, Lagrangian or orthogonal ones) of characteristic classes of the tautological bundle can be expressed as iterated residues at infinity of some holomorphic functions of several variables. The results obtained for these cases can be expressed as special cases of one formula involving the Weyl group action on the characters of the natural representation of...

Currently displaying 81 – 100 of 194