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Item Details
| Title:
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RUELLE OPERATORS
FUNCTIONS WHICH ARE HARMONIC WITH RESPECT TO A TRANSFER OPERATOR |
| By: |
Palle E. T. Jorgensen |
| Format: |
Paperback |
| List price:
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£48.50 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
0821826883 |
| ISBN 13: |
9780821826881 |
| Publisher: |
AMERICAN MATHEMATICAL SOCIETY |
| Pub. date: |
15 June, 2001 |
| Series: |
Memoirs of the American Mathematical Society No. 152 |
| Pages: |
60 |
| Description: |
Motivated by wavelet analysis, this title considers a class of normal representations of the $C^{\ast}$-algebra $\mathfrak {A}_{N}$ on two unitary generators $U$, $V$ subject to the relation $UVU^{-1}=V^{N}$. |
| Synopsis: |
Let $N\in\mathbb{N}$, $N\geq2$, be given. Motivated by wavelet analysis, we consider a class of normal representations of the $C^{\ast}$-algebra $\mathfrak {A}_{N}$ on two unitary generators $U$, $V$ subject to the relation $UVU^{-1}=V^{N}$. The representations are in one-to-one correspondence with solutions $h\in L^{1}\left(\mathbb{T}\right)$, $h\geq0$, to $R\left(h\right)=h$ where $R$ is a certain transfer operator (positivity-preserving) which was studied previously by D. Ruelle. The representations of $\mathfrak {A}_{N}$ may also be viewed as representations of a certain (discrete) $N$-adic $ax+b$ group which was considered recently by J.-B. Bost and A. Connes. |
| Illustrations: |
bibliography |
| Publication: |
US |
| Imprint: |
American Mathematical Society |
| Returns: |
Returnable |
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