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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Non-Commutative Harmonic Analysis on Solv-Manifolds

Non-Commutative Harmonic Analysis on Solv-Manifolds

Baklouti, Ali

Hardcover

Series: Springer Monographs in Mathematics

General Mathematics

PREORDER - Expected ship date December 24, 2026

ISBN10: 3032361222
ISBN13: 9783032361226
Publisher: Springer
Published: Dec 24 2026
Pages: 361
Language: English

This book presents a thorough and up-to-date treatment of recent advances in non-commutative harmonic analysis on homogeneous spaces, with a particular focus on the intricate interplay between representation theory and analytic methods on Lie groups. The work offers a comprehensive and structured exploration of harmonic analysis and representation theory on a broad class of non-abelian Lie groups, including nilpotent, solvable, exponential, and certain semi-direct and compact extensions. It builds from foundational topics, such as induced representations, Plancherel theory, and coadjoint orbits, toward more advanced developments, including localized Plancherel formulas, functional inequalities, and a variety of uncertainty principles in both classical and non-commutative settings. A major strength of the work lies in its original contributions to the non-commutative analogues of classical theorems, especially uncertainty principles of Hardy, Cowling-Price, Morgan, Beurling, and Miyachi, adapted to nilpotent and solvable Lie groups, Heisenberg groups, and more general settings. Furthermore, the volume features a comprehensive section that extends the Müntz-Szász theorems to non-commutative settings, using sophisticated machinery such as Fourier operators, Plancherel theory on Lie groups and their homogeneous spaces. The exposition is mathematically rigorous, yet constructive and accessible, blending deep theoretical results with explicit examples and analytic techniques.

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