Analysis and probability : wavelets, signals, fractals /
"This book, combining analysis and tools from mathematical probability, focuses on a systematic and novel presentation of recent trends in pure and applied mathematics: the emergence of three fields, wavelets, signals and fractals. The unity of basis constructions and their expansions is emphas...
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| Format: | Book |
| Language: | English |
| Published: |
New York, NY :
Springer,
c2006.
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| Series: | Graduate texts in mathematics ;
v. 234 |
| Subjects: |
Table of Contents:
- 1. Introduction : measures on path space
- 2. Transition probabilities : random walk
- 3. N[subscript 0] vs. Z
- 4. A case study : duality for cantor sets
- 5. Infinite products
- 6. The minimal eigenfunction
- 7. Generalizations and applications
- 8. Pyramids and operators
- 9. Pairs of representations of the Cuntz algebras O[subscript n], and their application to multiresolutions
- App. Polyphase matrices and the operator algebra O[subscript N].