The author describes the current state of the art in the theory of
invariant random fields. This theory is based on several different
areas of mathematics, including probability theory, differential
geometry, harmonic analysis, and special functions. The present
volume unifies many results scattered throughout the mathematical,
physical, and engineering literature, as well as it introduces new
results from this area first proved by the author. The book also
presents many practical applications, in particular in such highly
interesting areas as approximation theory, cosmology and earthquake
engineering. It is intended for researchers and specialists working
in the fields of stochastic processes, statistics, functional
analysis, astronomy, and engineering.
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