Quantization on Nilpotent Lie Groups

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 a...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: Fischer, Veronique (مؤلف), Ruzhansky, Michael (مؤلف)
مؤلف مشترك: SpringerLink (Online service)
التنسيق: الكتروني كتاب الكتروني
اللغة:الإنجليزية
منشور في: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
الطبعة:1st ed. 2016.
سلاسل:Progress in Mathematics, 314
الموضوعات:
الوصول للمادة أونلاين:http://dx.doi.org/10.1007/978-3-319-29558-9
الوسوم: إضافة وسم
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الوصف
الملخص: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.
وصف مادي:XIII, 557 p. 1 illus. in color. online resource.
ردمك:9783319295589
تدمد:0743-1643 ;
DOI:10.1007/978-3-319-29558-9
وصول:Open Access