A Basis Theory Primer

From the reviews:

"The present book gives a wide perspective, preparing the functional analytic ground ... and also discussing in great detail the relevant features of bases in Banach spaces, unconditional bases, frames, and their role in the context of Applied Harmonic Analysis. ... the book is ideally suited for self-study, but also as a text book from which different courses can be compiled. The presentation is very reader-friendly and provides all necessary details." (H. G. Feichtinger, Monatshefte fur Mathematik, Vol. 166 (3-4), June, 2012)

This book is a very comprehensive work dedicated to introducing graduate students or researchers in pure and applied mathematics as well as engineering to the foundations of basis expansions and to essential techniques for applications. ... The exercises contained in the book make it a good fit for graduate courses on selected topics in functional analysis and applications." (Bernhard Bodmann, Zentralblatt MATH, Vol. 1227, 2012)

"The amount of mathematics treated in the book is impressive. ... a handbook for a certain group of mathematicians to learn about the main tools of the theory of bases and frames for Banach and Hilbert spaces. ... Personally I like this book. It is one of those very few mathematical books that I can read without additional difficulties arising from my limited capacity to remember facts and definitions." (Kazaros Kazarian, Mathematical Reviews, Issue 2012 b)