TY  - BOOK
AU  - Figa-Talamanca,Alessandro
AU  - Steger,Tim
TI  - Harmonic Analysis for Anisotropic Random Walks on Homogeneous Trees
T2  - Memoirs of the American Mathematical Society
SN  - 9781470401108
AV  - QA387 -- .F543 1994eb 
U1  - 512/.55 
PY  - 1994///
CY  - Providence
PB  - American Mathematical Society
KW  - Locally compact groups
KW  - Representations of groups
KW  - Random walks (Mathematics)
KW  - Trees (Graph theory)
KW  - Electronic books
N1  - Intro -- Contents -- List of Figures -- Index of Notation -- Abstract -- Chapter 0. Introduction -- Chapter 1. The Green Function -- 1. Random Walks on a Tree -- 2. The Method of Paths -- 3. The Nearest Neighbor Case -- 4. The Case of a Finitely Supported Measure -- 5. Algebraicity of the Green Function -- 6. Notes and Remarks -- Chapter 2. The Spectrum and the Plancherel Measure -- 1. The Spectrum of the Random Walk in l[sup(r)]{G) -- 2. The l[sup(2)]-spectrum and the Real l[sup(1)]-spectrum -- 3. The Plancherel Formula -- 4. Notes and Remarks -- Chapter 3. Representations and their Realization on the Boundary -- 1. Boundary Theory for Eigenfunctions of the Random Walk -- 2. The Principal Series -- 3. The Complementary Series -- 4. Notes and Remarks -- Chapter 4. Irreducibility and Inequivalence -- 1. Irreducibility -- 2. Inequivalence -- 3. Notes and Remarks -- References
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113768
ER  -