This book is intended for graduate students and research mathematicians working in functional analysis.
Iterated function systems and permutation representations of the Cuntz algebra. Mem. Amer. Math. Soc., 139(663):x+89, 1999. [9] Hans Brolin. Invariant sets under iteration of rational functions. Ark. Mat., 6:103– 144 (1965), 1965.
Let $\mathcal{O}_{d}$ be the Cuntz algebra on generators $S_{1},\dots,S_{d}$, $2\leq dinfty$.
representation in 2 × 2 matrices is given by ( ) u→ n 0 0 1 , v → ( 1 1 0 1 ) . ... [3] O. Bratteli, P.E.T. Jorgensen, Iterated function systems and permutation representations of the Cuntz algebra. Mem. Amer. Math. Soc.
Let $N\in\mathbb{N}$, $N\geq2$, be given.
Combines analysis and tools from probability, harmonic analysis, operator theory, and engineering (signal/image processing) Interdisciplinary focus with hands-on approach, generous motivation and new pedagogical techniques Numerous ...
Math. Soc., 108 (1990), 341–351. [3] J. Agler and J.E. McCarthy, Complete Nevanlinna–Pick kernels, preprint, 2000 ... [15] O. Bratteli and P. Jorgensen, Iterated function systems and permutation representations of the Cuntz algebra, Mem ...
[10] J.A. Ball and V. Vinnikov, Functional models for representations of the Cuntz algebra, Operator Theory, ... [11] A.F. Beardon, Iteration of Rational Functions: Complex Analytic Dynamical Systems, Graduate Texts in Mathematics, vol.
[3] J.A. Ball and V. Vinnikov, Lax-Phillips scattering and conservative linear systems: a Cuntz-algebra ... [7] O. Bratteli and P.E.T. Jorgensen, Iterated function systems and permutation representations of the Cuntz algebra, ...
A. G. Myasnikov ( Moscow ) 99k : 46094a 46Lxx 11385 22D25 39B12 42C15 47D25 Bratteli , Ola ; Jorgensen , Palle E.T. Iterated function systems and permutation representations of the Cuntz algebra . ( English summary ) Mem . Amer . Math .
The 25th Great Plains Operator Theory Symposium, June 7-12, 2005, University of Central Florida, Florida Palle E. T. Jørgensen, Great Plains Operator Theory Symposium Deguang Han, David R. Larson. PROOF. (Lemma 5.3 Let the conditions be ...