TY - GEN AB - 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. AU - Baklouti, Ali, AU - Fujiwara, Hidenori, AU - Ludwig, Jean, CN - QA387 DO - 10.1007/978-3-030-82044-2 DO - doi ID - 1440305 KW - Lie groups. KW - Representations of groups. KW - Groupes de Lie. KW - Représentations de groupes. LK - https://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-82044-2 N2 - 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. SN - 9783030820442 SN - 3030820440 T1 - Representation theory of solvable Lie groups and related topics / TI - Representation theory of solvable Lie groups and related topics / UR - https://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-82044-2 ER -