b-functions and integrable solutions of holonomic D-modules
Yves Laurent
Abstract
A famous theorem of Harish-Chandra shows that all invariant eigendistributions on a semisimple Lie group are locally integrable functions. We give here an algebraic version of this theorem in terms of polynomials associated with a holonomic D-module.
Create a lesson
Related papers
Finite-Time Blowup for Navier-Stokes with Smooth Forcing, Part II: Residual Correction via Oscillatory Pulses
Zhen Lei, Xiao Ren
Evolution Dynamics and Cauchy Problems with Quaternionic Variables and Lifting to Banach Bilateral A-Algebras
Chao Wang, Guangzhou Qin, Jibin Li
Unique continuation, nonexistence and bubbling for the critical p-Laplace equation II: the degenerate elliptic case and higher dimensions
Carlo Mercuri
Construction of entropies for cross-diffusion systems
Xiuqing Chen, Ansgar Jüngel, Mingyue Zhang
Asymptotic behavior of generic Riemann solutions to one-dimensional full compressible Navier-Stokes-Poisson equations
Xin-Xiang Bian, Jiajin Shi, Lingling Xie
Positive coexistence solutions for systems of multi-kernel Hammerstein type equations
Laura M. Fernández-Pardo, Jorge Rodríguez-López