The contents of the book are as follows. In chapter 1 the simplest
examples of coherent states and time–frequency localization are introduced,
including the original “canonical” coherent states, windowed
Fourier transforms and wavelet transforms.In chapter 2 a new, algebraic approach to orthonormal bases of wavelets is formulated. In chapter 3 the concept of generalized coherent states based on
Lie groups and their homogeneous spaces is reviewed. In chapter 4, the interactions between phase space, quantum mechanics
and Relativity are studied. In chapter 5, the formalism is extended to quantized fields. In chapter 6 we give a brief account of some ongoing work, beginning
with a review of the idea of holomorphic gauge theory. |