Mathematics

"In this book, the authors systematically introduce the basic properties of Hardy operator, its interactions with other operators and function spaces, and its applications in several math branches, based on their own research works. The author further introduced various extensions of the Hardy operators, for instances the Hardy operators on Heisenberg groups and on p-adic fields. The content in the book is very rich..."

"The first edition of Michael Edgeworth McIntyre's book rightly received plaudits for its insightfulness, clarity of thought, unique approach and explanation of cross-cutting topics in science, music and mathematics. One of its highlights, for me as an atmospheric phycicist, was the Postlude 'The amplifier metaphor for climate' which discusses how the climate system can respond significantly to small changes in inputs, such as solar energy, and how these are magnified by the greater availability of 'fuel' in the form of water vapour associated with human-produced global warming..."