Recent Developments in Fractals and Related Fields
Published on 12. August 2010
Book
Hardback
XX, 419 pages
978-0-8176-4887-9 (ISBN)
Description
The Applied and Numerical Harmonic Analysis (ANHA) book series aims to provide the engineering, mathematical, and scienti?c communities with s- ni?cant developments in harmonic analysis, ranging from abstract harmonic analysis to basic applications. The title of the series re?ects the importance of applications and numerical implementation, but richness and relevance of applications and implementation depend fundamentally on the structure and depth of theoretical underpinnings. Thus, from our point of view, the int- leaving of theory and applications and their creative symbiotic evolution is axiomatic. Harmonic analysis is a wellspring of ideas and applicability that has ?o- ished, developed, and deepened over time within many disciplines and by means of creative cross-fertilizationwith diverse areas. The intricate and f- damental relationship between harmonic analysis and ?elds such as signal processing, partial di?erential equations (PDEs), and image processing is - ?ected in our state-of-the-art ANHA series. Our vision of modern harmonic analysis includes mathematical areas such as wavelet theory, Banach algebras, classical Fourier analysis, time-frequency analysis, and fractal geometry, as well as the diverse topics that impinge on them.
More details
Series
Edition
2010 ed.
Language
English
Place of publication
Boston
United States
Target group
Professional and scholarly
Research
Product notice
sewn/stitched
Cloth over boards
Illustrations
45 s/w Abbildungen
XX, 419 p. 45 illus.
Dimensions
Height: 241 mm
Width: 162 mm
Thickness: 33 mm
Weight
790 gr
ISBN-13
978-0-8176-4887-9 (9780817648879)
DOI
10.1007/978-0-8176-4888-6
Schweitzer Classification
Other editions
Additional editions
Julien Barral | Stéphane Seuret
Recent Developments in Fractals and Related Fields
E-Book
07/2010
1st Edition
Birkhäuser
€96.29
Available for download
Content
Geometric Measure Theory and Multifractals.- Occupation Measure and Level Sets of the Weierstrass-Cellerier Function.- Space-Filling Functions and Davenport Series.- Dimensions and Porosities.- On Upper Conical Density Results.- On the Dimension of Iterated Sumsets.- Geometric Measures for Fractals.- Harmonic and Functional Analysis and Signal Processing..- A Walk from Multifractal Analysis to Functional Analysis with Spaces, and Back.- Concentration of the Integral Norm of Idempotents.- Le calcul symbolique dans certaines algèbres de type Sobolev.- Lp-Norms and Fractal Dimensions of Continuous Function Graphs.- Uncertainty Principles, Prolate Spheroidal Wave Functions, and Applications.- 2-Microlocal Besov Spaces.- Refraction on Multilayers.- Wavelet Shrinkage: From Sparsity and Robust Testing to Smooth Adaptation.- Dynamical Systems and Analysis on Fractals..- Simple Infinitely Ramified Self-Similar Sets.- Quantitative Uniform Hitting in Exponentially Mixing Systems.- Some Remarks on the Hausdorff and Spectral Dimension of V-Variable Nested Fractals.- Cantor Boundary Behavior of Analytic Functions.- Measures of Full Dimension on Self-Affine Graphs.- Stochastic Processes and Random Fractals.- A Process Very Similar to Multifractional Brownian Motion.- Gaussian Fields Satisfying Simultaneous Operator Scaling Relations.- On Randomly Placed Arcs on the Circle.- T-Martingales, Size Biasing, and Tree Polymer Cascades.- Combinatorics on Words.- Univoque Numbers and Automatic Sequences.- A Crash Look into Applications of Aperiodic Substitutive Sequences.- Invertible Substitutions with a Common Periodic Point.- Some Studies on Markov-Type Equations.