Representation Theory of Solvable Lie Groups and Related Topics

Beschreibung

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.
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.
This book is unique in the domain of representation theory of solvable Lie groups Solves many problems in relation with many other research fields Appears as a perfect tool for researchers and beginners in the fields

Autor*in

Ali Baklouti

Themen in »Representation Theory of Solvable Lie Groups and Related Topics«

Representation Theory Solvable Lie Groups Plancherel Formula Bounded Representation Coadjoint Orbit

Stimmen zu »Representation Theory of Solvable Lie Groups and Related Topics«

“This book is the first major reference on the representation theory of solvable Lie groups to appear in a very long time. … this book gives a summary of most of what is now known about representation theory and harmonic analysis for exponential solvable Lie groups. It's a welcome addition to the literature.” (Jonathan M. Rosenberg, Mathematical Reviews, February, 2023)
“The theory is well explained and clarified. The book is well readable, recommended for beginners and also for experts.” (Do Ngoc Diep, zbMATH 1480.22001, 2022)
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