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Original Essays | April 11, 2014

Paul Laudiero: IMG Shit Rough Draft



I was sitting in a British and Irish romantic drama class my last semester in college when the idea for Shit Rough Drafts hit me. I was working... Continue »
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Analysis of Divergence (Applied and Numerical Harmonic Analysis)

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Publisher Comments:

Divergent processes are at the core of classical and modern mathematical analysis and the careful control and management of these processes are essential. This text is a survey of results, analysis and applications for the study of divergent processes. It covers a broad range of topics including summability, Fourier series, wavelet transform, singular integrals, spectral theory and asymptotics. It should be a useful resource for pure and applied mathematicians working in the areas of functional analysis, singular integrals, variational problems, signal analysis and wavelet analysis.

Table of Contents

Series: Applied and Numerical Harmonic Analysis


I. Convergence and Summability

  • Tauberian theorems for generalized Abelian summability methods
  • Series summability of complete biorthogonal sequences
  • Growth of Cesaro means of double Vilenkin-Fourier series of unbounded type
  • A substitute for summability in wavelet expansions
  • Expansions in series of Legendre functions
  • Endpoint convergence of Legendre series
  • Inversion of the horocycle transform on real hyperbolic spaces via a wavelet-like transform
  • Fourier-Bessel expansions with general boundary conditions

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II. Singular Integrals and Multipliers
  • Convolution Calderon-Zygmund singluar integral operators with rough kernals
  • Haar multipliers, paraproducts, and weighted inequalities
  • Multipliers and square functions for HP spaces over Vilenkin groups
  • Spectra of pseudo-differential operators in the Hormander class
  • Scaling properties of infinitely flat curves and surfaces
  • Some LP(L-infinity) - and L2(L2) - estimates for oscillatory Fourier transforms
  • Optimal spaces for the S'-convolution with the Marcel Riesz kernels and the N-dimensional Hilbert kernel
III. Integral operators and Functional Analysis
  • Asymptotic expansions and linear wavelet packets on certain hypergroups
  • Hardy-type inequalities for a new class of integral operators
  • Regularly bounded functions and Hardy's inequality
  • Extremal problems in generalized Sobolev classes
  • On angularly perturbed Laplace equations in the unit ball and their distributional boundary values
  • Nonresonant semilinear equations and applications to boundary value problems
  • A topological and functional analytic approach to statistical convergence
. Asymptotics and Applications Optimal control of divergent control systems Surfaces minimizing integrals of divergent integrands Sparse exponential sums with low sidelobes Spline type summability for multivariate sampling B-Splines and orthonormal sets in Paley-Wiener space Norms of powers and a central limit theorem Quasiasymptotics at zero and nonlinear problems in a framework of Colombeau generalized functions

Product Details

ISBN:
9780817640583
Author:
Bray, William O.
Author:
Stanojevic, Caslav V.
Author:
Bray, W. O.
Author:
Stanojevic, C. V.
Publisher:
Birkhauser
Subject:
Mathematical Analysis
Subject:
Probability
Subject:
Control theory
Subject:
Asymptotic expansions
Subject:
Series, divergent
Subject:
Probability & Statistics - General
Subject:
Mathematics-Analysis General
Series:
Applied and Numerical Harmonic Analysis
Publication Date:
19981131
Binding:
Hardcover
Language:
English
Pages:
587
Dimensions:
9.51x6.48x1.24 in. 2.14 lbs.

Related Subjects

Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Probability and Statistics » General
Science and Mathematics » Mathematics » Probability and Statistics » Statistics

Analysis of Divergence (Applied and Numerical Harmonic Analysis) New Hardcover
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