Physical description 
1 online resource (xxii, 472 pages) : illustrations (some color). 
Series 
Applied and Numerical Harmonic Analysis, 22965009


Applied and numerical harmonic analysis.

Contents 
Abstract Exact and Approximate Sampling Theorems  Sampling in Reproducing Kernel Hilbert Space  BoasType Formulas and Sampling in Banach Spaces with Applications to Analysis on Manifolds  On Window Methods in Generalized Shannon Sampling Operators  Generalized sampling approximation for multivariate discontinuous signals and applications to image processing  Signal and System Approximation from General Measurements  Confirmation PROCESS  Sparse Signal Processing  Signal Sampling and Testing Under Noise  Superoscillations  General Moduli of Smoothness and Approximation by Families of Linear Polynomial Operators  Variation and approximation in multidimensional setting for Mellin integral operators  The Lebesgue Constant for Sinc Approximations  Six (Seven) problems in frame theory  Five good reasons for complexvalued transforms in image processing  Frequency Determination Using the Discrete Hermite Transform  Fractional Operators, Dirichlet Averages and Splines  A Distributional Approach to Generalized Stochastic Processes on Locally Compact Abelian Groups  On a discrete Turán problem for l1 radial functions. 
Summary 
Paul Butzer, who is considered the academic father and grandfather of many prominent mathematicians, has established one of the best schools in approximation and sampling theory in the world. He is one of the leading figures in approximation, sampling theory, and harmonic analysis. Although on April 15, 2013, Paul Butzer turned 85 years old, remarkably, he is still an active research mathematician. In celebration of Paul Butzer?s 85th birthday, New Perspectives on Approximation and Sampling Theory is a collection of invited chapters on approximation, sampling, and harmonic analysis written by students, friends, colleagues, and prominent active mathematicians. Topics covered include approximation methods using wavelets, multiscale analysis, frames, and special functions. New Perspectives on Approximation and Sampling Theory requires basic knowledge of mathematical analysis, but efforts were made to keep the exposition clear and the chapters selfcontained. This volume will appeal to researchers and graduate students in mathematics, applied mathematics and engineering, in particular, engineers working in signal and image processing. 
Notes 
Online resource; title from PDF title page (SpringerLink, viewed December 17, 2014). 
Other author 
Zayed, Ahmed I., editor.


Schmeisser, Gerhard, 1939 editor.


Butzer, Paul Leo, 1928 honoree.

Subject 
Sampling (Statistics)


Harmonic analysis.


Approximation theory.


MATHEMATICS / Applied 

MATHEMATICS / Probability & Statistics / General 

Electronic books. 
ISBN 
9783319088013 

3319088017 

9783319088006 

3319088009 (print) 

9783319088006 (print) 
Standard Number 
10.1007/9783319088013 
