Download A Basis Theory Primer: Expanded Edition (Applied and by Christopher Heil PDF

By Christopher Heil

This textbook is a self-contained advent to the summary conception of bases and redundant body expansions and their use in either utilized and classical harmonic research. The 4 components of the textual content take the reader from classical practical research and foundation concept to trendy time-frequency and wavelet theory.

Extensive routines supplement the textual content and supply possibilities for learning-by-doing, making the textual content appropriate for graduate-level classes. The self-contained presentation with transparent proofs is out there to graduate scholars, natural and utilized mathematicians, and engineers drawn to the mathematical underpinnings of applications.

Show description

Read Online or Download A Basis Theory Primer: Expanded Edition (Applied and Numerical Harmonic Analysis) PDF

Best functional analysis books

Exponentially Dichotomous Operators and Applications: 182 (Operator Theory: Advances and Applications)

During this monograph the average evolution operators of independent first-order differential equations with exponential dichotomy on an arbitrary Banach house are studied intimately. Characterizations of those so-called exponentially dichotomous operators by way of their resolvents and additive and multiplicative perturbation effects are given.

Fundamental Solutions of Linear Partial Differential Operators: Theory and Practice

This monograph presents the theoretical foundations wanted for the development of basic ideas and primary matrices of (systems of) linear partial differential equations. Many illustrative examples additionally express suggestions for locating such recommendations when it comes to integrals. specific recognition is given to constructing the basics of distribution idea, observed by way of calculations of primary ideas.

An Introduction to Frames and Riesz Bases (Applied and Numerical Harmonic Analysis)

This revised and accelerated monograph offers the final idea for frames and Riesz bases in Hilbert areas in addition to its concrete realizations inside of Gabor research, wavelet research, and generalized shift-invariant platforms.  Compared with the 1st version, extra emphasis is wear particular structures with appealing homes.

Polyharmonic Boundary Value Problems: Positivity Preserving and Nonlinear Higher Order Elliptic Equations in Bounded Domains (Lecture Notes in Mathematics)

This available monograph covers better order linear and nonlinear elliptic boundary price difficulties in bounded domain names, normally with the biharmonic or poly-harmonic operator as top significant half. It presents quick entry to fresh effects and references.

Extra resources for A Basis Theory Primer: Expanded Edition (Applied and Numerical Harmonic Analysis)

Example text

Download PDF sample

Rated 4.89 of 5 – based on 14 votes