Parabolic induction via the parabolic pro-???? Iwahori–Hecke algebra

Generalized Jacquet modules of parabolic induction

In this paper we study the some generalization of Jacquet modules of parabolic induction and construct a filtration on it. The successive quotient of the filtration is written by using the twisting functor.

Quasilinear parabolic problems via maximal regularity

We use maximal Lp regularity to study quasilinear parabolic evolution equations. In contrast to all previous work we only assume that the nonlinearities are defined on the space in which the solution is sought for. It is shown that there exists a unique maximal solution depending continuously on all data, and criteria for global existence are given as well. These general results possess numerou...

Parabolic Sheaves on Surfaces and Affine Lie Algebra Gl N

Parabolic starlike mappings of the unit ball $B^n$

Let $f$ be a locally univalent function on the unit disk $U$. We consider the normalized extensions of $f$ to the Euclidean unit ball $B^nsubseteqmathbb{C}^n$ given by $$Phi_{n,gamma}(f)(z)=left(f(z_1),(f'(z_1))^gammahat{z}right),$$  where $gammain[0,1/2]$, $z=(z_1,hat{z})in B^n$ and $$Psi_{n,beta}(f)(z)=left(f(z_1),(frac{f(z_1)}{z_1})^betahat{z}right),$$ in which $betain[0,1]$, $f(z_1)neq 0$ a...

The Structure of Two-parabolic Space: Parabolic Dust and Iteration

A non-elementary Möbius group generated by twoparabolics is determined up to conjugation by one complex parameter and the parameter space has been extensively studied. In this paper, we use the results of [7] to obtain an additional structure for the parameter space, which we term the two-parabolic space. This structure allows us to identify groups that contain additional conjugacy classes of p...