Harmonic Analysis for Anisotropic Random Walks on Homogeneous Trees - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Harmonic Analysis for Anisotropic Random Walks on Homogeneous Trees write by Alessandro Figà-Talamanca. This book was released on 1994. Harmonic Analysis for Anisotropic Random Walks on Homogeneous Trees available in PDF, EPUB and Kindle.
Harmonic Analysis for an Anisotropic Random Walk on a Homogeneous Tree
Harmonic Analysis for an Anisotropic Random Walk on a Homogeneous Tree - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Harmonic Analysis for an Anisotropic Random Walk on a Homogeneous Tree write by Tim Steger. This book was released on 1985. Harmonic Analysis for an Anisotropic Random Walk on a Homogeneous Tree available in PDF, EPUB and Kindle.
Harmonic Analysis for Anisotropic Random Walks on Homogeneous Trees
Harmonic Analysis for Anisotropic Random Walks on Homogeneous Trees - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Harmonic Analysis for Anisotropic Random Walks on Homogeneous Trees write by Alessandro Figà-Talamanca. This book was released on 1994. Harmonic Analysis for Anisotropic Random Walks on Homogeneous Trees available in PDF, EPUB and Kindle. This work presents a detailed study of the anisotropic series representations of the free product group Z/2Z*...*Z/2Z. These representations are infinite dimensional, irreducible, and unitary and can be divided into principal and complementary series. Anisotropic series representations are interesting because, while they are not restricted from any larger continuous group in which the discrete group is a lattice, they nonetheless share many properties of such restrictions. The results of this work are also valid for nonabelian free groups on finitely many generators.
Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees
Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees write by Alessandro Figá-Talamanca. This book was released on 1991-06-28. Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees available in PDF, EPUB and Kindle. These notes treat in full detail the theory of representations of the group of automorphisms of a homogeneous tree. The unitary irreducible representations are classified in three types: a continuous series of spherical representations; two special representations; and a countable series of cuspidal representations as defined by G.I. Ol'shiankii. Several notable subgroups of the full automorphism group are also considered. The theory of spherical functions as eigenvalues of a Laplace (or Hecke) operator on the tree is used to introduce spherical representations and their restrictions to discrete subgroups. This will be an excellent companion for all researchers into harmonic analysis or representation theory.
Harmonic Functions on Trees and Buildings
Harmonic Functions on Trees and Buildings - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Harmonic Functions on Trees and Buildings write by Adam Korǹyi (et al.). This book was released on 1997. Harmonic Functions on Trees and Buildings available in PDF, EPUB and Kindle. This volume presents the proceedings of the workshop "Harmonic Functions on Graphs" held at the Graduate Centre of CUNY in the autumn of 1995. The main papers present material from four minicourses given by leading experts: D. Cartwright, A. Figà-Talamanca, S. Sawyer, and T. Steger. These minicrouses are introductions which gradually progress to deeper and less known branches of the subject. One of the topics treated is buildings, which are discrete analogues of symmetric spaces of arbitrary rank; buildings of rank are trees. Harmonic analysis on buildings is a fairly new and important field of research. One of the minicourses discusses buildings from the combinatorial perspective and another examines them from the p-adic perspective. the third minicourse deals with the connections of trees with p-adic analysis, and the fourth deals with random walks, ie., with the probabilistic side of harmonic functions on trees. The book also contains the extended abstracts of 19 of the 20 lectures given by the participants on their recent results. These abstracts, well detailed and clearly understandable, give a good cross-section of the present state of research in the field.
