This book considers various spaces and algebras made up of functions, measures, and other objects-situated always on one or another locally compact abelian group, and studied in the light of the Fourier transform. The emphasis is on the objects themselves, and on the structure-in-detail of the spaces and algebras. A mathematician needs to know only a little about Fourier analysis on the commutative groups, and then may go many ways within the large subject of harmonic analysis-into the beautiful theory of Lie group representations, for example. But this book represents the tendency to linger on the line, and the other abelian groups, and to keep asking questions about the structures thereupon. That tendency, pursued since the early days of analysis, has defined a field of study that can boast of some impressive results, and in which there still remain unanswered questions of compelling interest. We were influenced early in our careers by the mathematicians Jean-Pierre Kahane, Yitzhak Katznelson, Paul Malliavin, Yves Meyer, Joseph Taylor, and Nicholas Varopoulos. They are among the many who have made the field a productive meeting ground of probabilistic methods, number theory, diophantine approximation, and functional analysis. Since the academic year 1967-1968, when we were visitors in Paris and Orsay, the field has continued to see interesting developments. Let us name a few. Sam Drury and Nicholas Varopoulos solved the union problem for Helson sets, by proving a remarkable theorem (2.1.3) which has surely not seen its last use.

"Graham's book is accessible and clear, offering readers an opportunity to learn and do better." Susanna Barkataki, author of Embrace Yoga's Roots This book's mission is to empower yoga practitioners and professionals to align their practice on the mat with their lives off the mat. Yoga as Resistance outlines a dynamic programme of social justice reform within the yoga industry. The majority of teachers in North America and Europe are white, able-bodied and cisgender. What does that signal to people differently identified about their place in yoga? This book welcomes all to take part in questioning the status quo and learn how to move toward equity - and why it matters. Seeking to inspire a whole community of radical change agents, Yoga as Resistance offers guidance to students, teachers, studio owners and brand managers, explaining how to practise self-enquiry, minimize harm and follow practical strategies for advancing social justice and racial equity. The overall message is inclusive and profoundly inspiring: if we truly want to practise yoga, we must all come together to do the work. As this work is often challenging, each chapter closes with a yoga or meditation practice or journaling activity to embody deeper understanding and help deal with any discomfort or issues that may arise.