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  • 1
    Online Resource
    Online Resource
    Cham :Springer International Publishing :
    UID:
    kobvindex_HPB945948187
    Format: 1 online resource (XIII, 557 pages 1 illustration in color.) : , online resource
    Edition: 1st ed. 2016.
    ISBN: 9783319295589 , 3319295586 , 3319295578 , 9783319295572 , 9789400775954 , 9400775954 , 9789400775961 , 9400775962
    Series Statement: Progress in Mathematics, 314
    Content: This book presents a consistent development of the Kohn-Nirenberg type global quantization theory in the setting of graded nilpotent Lie groups in terms of their representations. It contains a detailed exposition of related background topics on homogeneous Lie groups, nilpotent Lie groups, and the analysis of Rockland operators on graded Lie groups together with their associated Sobolev spaces. For the specific example of the Heisenberg group the theory is illustrated in detail. In addition, the book features a brief account of the corresponding quantization theory in the setting of compact Lie groups. The monograph is the winner of the 2014 Ferran Sunyer i Balaguer Prize.
    Note: Preface -- Introduction -- Notation and conventions -- 1 Preliminaries on Lie groups -- 2 Quantization on compact Lie groups -- 3 Homogeneous Lie groups -- 4 Rockland operators and Sobolev spaces -- 5 Quantization on graded Lie groups -- 6 Pseudo-differential operators on the Heisenberg group -- A Miscellaneous -- B Group C* and von Neumann algebras -- Schrödinger representations and Weyl quantization -- Explicit symbolic calculus on the Heisenberg group -- List of quantizations -- Bibliography -- Index. , English.
    In: Springer eBooks
    Additional Edition: Printed edition: 9783319295572
    Language: English
    Keywords: Electronic books. ; Electronic books.
    URL: OAPEN
    URL: OAPEN
    URL: OAPEN  (Creative Commons License)
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