Spherical harmonic analysis on affine buildings
نویسندگان
چکیده
منابع مشابه
Affine inequalities in harmonic analysis
We discuss two affine inequalities and their role in two specific problems in harmonic analysis. The aim is to clarify the role that affine inequalities may play in harmonic analysis rather than to present any definitive results.
متن کاملar X iv : m at h / 06 04 05 8 v 1 [ m at h . FA ] 4 A pr 2 00 6 SPHERICAL HARMONIC ANALYSIS ON AFFINE BUILDINGS
Let X be a locally finite regular affine building with root system R. There is a commutative algebra A spanned by averaging operators A λ , λ ∈ P + , acting on the space of all functions f : V P → C, where V P is in most cases the set of all special vertices of X , and P + is a set of dominant coweights of R. This algebra is studied in [6] and [7] for˜An buildings, and the general case is treat...
متن کاملAxioms of Affine Buildings
We prove equivalence of certain axiom sets for a ne buildings. Along the lines a purely combinatorial proof of the existence of a spherical building at in nity is given. As a corollary we obtain that being an a ne building is independent of the metric structure of the space.
متن کاملAffine twin R-buildings
In this paper, we define twinnings for affine R-buildings. We thus extend the theory of simplicial twin buildings of affine type to the non-simplicial case. We show how classical results can be extended to the non-discrete case, and, as an application, we prove that the buildings at infinity of aMoufang twin R-building have the induced structure of aMoufang building. The latter is not true for ...
متن کاملIsotropic Random Walks on Affine Buildings
Recently, Cartwright and Woess [5] provided a detailed analysis of isotropic random walks on the vertices of thick affine buildings of type Ãn. Their results generalise results of Sawyer [18] where homogeneous trees are studied (these are Ã1 buildings), and Lindlbauer and Voit [9], where Ã2 buildings are studied. In this paper we apply techniques of spherical harmonic analysis to prove a local ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2006
ISSN: 0025-5874,1432-1823
DOI: 10.1007/s00209-005-0924-4