This textbook is a self-contained introduction to the abstract
theory of bases and redundant frame expansions and their use in
both applied and classical harmonic analysis. The four parts of the
text take the reader from classical functional analysis and basis
theory to modern time-frequency and wavelet theory. Extensive
exercises complement the text and provide opportunities for
learning-by-doing, making the text suitable for graduate-level
courses. The self-contained presentation with clear proofs is
accessible to graduate students, pure and applied mathematicians,
and engineers interested in the mathematical underpinnings of
applications.
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