In addition to discussing core material in functional analysis, the authors cover more recent and advanced topics, including Weyl?s law for eigenfunctions of the Laplace operator, amenability and property (T), the measurable functional calculus, spectral...
Beginning by developing the basics of ergodic theory and progressing to describe some recent applications to number theory, this book goes beyond the standard texts in this topic. Applications include Weyl's polynomial equidistribution theorem, the...
Set in London 2065, society has continued its advancement in both philosophy and technology. People no longer suffer the hardships which previous generations faced. However, Sam Moorcroft, a teenager, is drawn to a particular village, primitive in nature....
The main theme of this book is the theory of heights as they appear in various guises. This includes a large body of results on Mahlers measure of the height of a polynomial. The authors'approach is very down to earth