The purpose of the book is to discuss the latest advances in the
theory of unitary representations and harmonic analysis for
solvable Lie groups. The orbit method created by Kirillov is the
most powerful tool to build the ground frame of these theories.
Many problems are studied in the nilpotent case, but several
obstacles arise when encompassing exponentially solvable settings.
The book offers the most recent solutions to a number of open
questions that arose over the last decades, presents the newest
related results, and offers an alluring platform for progressing in
this research area. The book is unique in the literature for which
the readership extends to graduate students, researchers, and
beginners in the fields of harmonic analysis on solvable
homogeneous spaces.
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