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Ruelle Operators: Functions which Are Harmonic with Respect to a Transfer Operator
Language: en
Pages: 74
Authors: Palle E. T. Jørgensen
Categories: Mathematics
Type: BOOK - Published: 2001 - Publisher: American Mathematical Soc.

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Let $N\in\mathbb{N}$, $N\geq2$, be given. Motivated by wavelet analysis, this title considers a class of normal representations of the $C DEGREES{\ast}$-algebra
Ruelle Operators
Language: en
Pages: 60
Authors: Palle E. T. J2rgensen
Categories: Ruelle operators
Type: BOOK - Published: 2014-09-11 - Publisher:

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Introduction A discrete $ax+b$ group Proof of Theorem 2.4 Wavelet filters Cocycle equivalence of filter functions The transfer operator of Keane A representatio
Lie Algebras Graded by the Root Systems BC$_r$, $r\geq 2$
Language: en
Pages: 175
Authors: Bruce Normansell Allison
Categories: Mathematics
Type: BOOK - Published: 2002 - Publisher: American Mathematical Soc.

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Introduction The $\mathfrak{g}$-module decomposition of a $\mathrm{BC}_r$-graded Lie algebra, $r\ge 3$ (excluding type $\mathrm{D}_3)$ Models for $\mathrm{BC}_r
From Representation Theory to Homotopy Groups
Language: en
Pages: 65
Authors: Donald M. Davis
Categories: Mathematics
Type: BOOK - Published: 2002 - Publisher: American Mathematical Soc.

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A formula for the odd-primary v1-periodic homotopy groups of a finite H-space in terms of its K-theory and Adams operations has been obtained by Bousfield. This
Lagrangian Reduction by Stages
Language: en
Pages: 125
Authors: Hernán Cendra
Categories: Mathematics
Type: BOOK - Published: 2001 - Publisher: American Mathematical Soc.

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This booklet studies the geometry of the reduction of Lagrangian systems with symmetry in a way that allows the reduction process to be repeated; that is, it de