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|a QA403 ǂb T567 2007eb
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|a 515/.2433
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|a UAMI
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|a Rosenblatt, Joseph M.
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|a Topics in Harmonic Analysis and Ergodic Theory.
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3 |
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|a Contemporary Mathematics
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| 246 |
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|a Contemporary Mathematics, Volume 444
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|a Topics in harmonic analysis and ergodic theory: December 2-4, 2005, DePaul University, Chicago, Illinois
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| 260 |
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|a Providence :
|b American Mathematical Society,
|c 2007.
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| 300 |
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|a 1 online resource (242 pages)
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| 336 |
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|a text
|b txt
|2 rdacontent
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| 337 |
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
|b cr
|2 rdacarrier
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|a Contemporary Mathematics ;
|v v. 444
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|a Print version record.
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|a Contents -- Preface -- List of Participants -- Topics in Ergodic Theory and Harmonic Analysis: An Overview -- The mathematical work of Roger Jones -- The Central Limit Theorem for Random Walks on Orbits of Probability Preserving Transformations -- Probability, Ergodic Theory, and Low-Pass Filters -- (1) Introduction. An overview. Basic notation -- (2) Two simple examples: the Haar function and the stretched Haar function. Correcting defective filters -- (3) An outline of the probability argument: Low-pass filters as transition probabilities and a zero-one principle
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|a (4) The Paul Lévy Borel-Cantelli Lemma and the convergence/divergence of an infinite product(5) Doeblin's coupling for low-pass filters -- (6) The state space and the path space. Basic probability theory for this application -- (7) Coding R1 into the state space: The signed magnitude representation versus the two's complement representation -- (8) The construction of a stationary Markov process. P-invariant measures, martingales, and harmonic functions -- (9) The crux of the problem: Invariant sets. Cycles and perfect sets. Forbidden zeros
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|a (10) The asymptotic behavior of paths from an initial point. Recurrent and transient points. Attractors and inaccessible sets. Examples(11) The probabilistic description of low-pass filters (Theorem 11.1) -- (12) The polynomial case: Daubechies' filters and the Pascal-Fermat correspondence. Cohen's necessary and sufficient conditions. A zero-one principle (Theorem 12.1) -- (13) Analytic conditions for low-pass filters. A class of examples from subshifts of finite type (Theorem 13.1) -- (14) Concluding remarks -- (15) References
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|a Ergodic Theory on Borel Foliations by Rn and ZnShort review of the work of Professor J. Marshall Ash -- Uniqueness questions for multiple trigonometric series -- 1. Introduction -- 2. Some Cantor-Lebesgue Type Theorems -- 2.1. Square Summation -- 2.2. Restrictedly Rectangular Summation -- 2.3. Unrestrictedly Rectangular Summation -- 2.4. Spherical Summation -- 3. A Uniqueness Theorem for Unrestrictedly Rectangular Convergence -- 4. A Uniqueness Theorem for Spherical Convergence -- 5. Sets of Uniqueness under Spherical Summation
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|a 6. Questions about Square and Restricted Rectangular Uniqueness6.1. Three weak theorems -- 6.2. Some conjectures -- 6.3. Towards a counterexample -- 7. Orthogonal Trigonometric Polynomials -- References -- Smooth interpolation of functions on Rn -- Problems in interpolation theory related to the almost everywhere convergence of Fourier series -- Lectures on Nehari's Theorem on the Polydisk -- The s-function and the exponential integral
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| 546 |
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|a English.
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| 504 |
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|a Includes bibliographical references.
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| 590 |
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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| 650 |
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0 |
|a Harmonic analysis
|x Data processing
|v Congresses.
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| 650 |
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0 |
|a Ergodic theory
|v Congresses.
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| 650 |
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0 |
|a Geometry
|v Congresses.
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| 650 |
|
6 |
|a Analyse harmonique
|x Informatique
|v Congrès.
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| 650 |
|
6 |
|a Théorie ergodique
|v Congrès.
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| 650 |
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6 |
|a Géométrie
|v Congrès.
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| 650 |
|
7 |
|a Ergodic theory
|2 fast
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| 650 |
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7 |
|a Geometry
|2 fast
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| 655 |
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7 |
|a Conference papers and proceedings
|2 fast
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| 700 |
1 |
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|a Stokolos, Alexander M.
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| 700 |
1 |
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|a Zayed, Ahmed I.
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| 776 |
0 |
8 |
|i Print version:
|a Rosenblatt, Joseph M.
|t Topics in Harmonic Analysis and Ergodic Theory.
|d Providence : American Mathematical Society, ©2007
|z 9780821842355
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| 830 |
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0 |
|a Contemporary Mathematics.
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| 856 |
4 |
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|u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3113131
|z Texto completo
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|b ASKH
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|b EBLB
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