Harmonic Analysis on Exponential Solvable Lie Groups

Inbunden, Engelska, 2014

Av Hidenori Fujiwara, Jean Ludwig

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This book is the first one that brings together recent results on the harmonic analysis of exponential solvable Lie groups. As well, various related topics are presented to motivate young researchers. The orbit method invented by Kirillov is applied to study basic problems in the analysis on exponential solvable Lie groups.

Produktinformation

Utgivningsdatum2014-12-16
Mått155 x 235 x 30 mm
Vikt848 g
FormatInbunden
SpråkEngelska
SerieSpringer Monographs in Mathematics
Antal sidor465
FörlagSpringer Verlag, Japan
ISBN9784431552871

Tillhör följande kategorier

1. Preliminaries: Lie groups and Lie algebras 2. Haar measure and group algebra 3. Induced representations 4. Four exponential solvable Lie groups 5. Orbit method 6. Kirillov Theory for nilpotent Lie groups 7. Holomorphically induced representations 8. Irreducible decomposition 9. e-central elements 10. Frobenius reciprocity 11. Plancherel formula 12. Commutativity conjecture: induction case 13. Commutativity conjecture: restriction case.