LEADER 00000cam 2200565Ii 4500 001 ocn944502145 003 OCoLC 005 20200419054840.4 006 m o d 007 cr cnu|||unuuu 008 160315s2016 sz a ob 001 0 eng d 020 9783319295589|q(electronic book) 020 3319295586|q(electronic book) 020 3319295578|q(print) 020 9783319295572|q(print) 020 |z9783319295572|q(print) 024 7 10.1007/978-3-319-29558-9|2doi 035 (OCoLC)944502145 040 GW5XE|beng|erda|epn|cGW5XE|dYDXCP|dUPM|dOCLCF|dCOO|dUAB |dJG0|dOCLCQ|dIAD|dJBG|dICW|dZ5A|dILO|dICN|dOCLCQ|dESU |dIOG|dWY@|dU3W|dCEF|dVTS|dOCLCQ|dWYU|dEBLCP|dFIE|dW2U |dUX1|dAUD|dOCLCQ 049 STJJ 050 4 QA387 066 |c(S 072 7 PBG|2bicssc 072 7 MAT014000|2bisacsh 072 7 MAT038000|2bisacsh 082 04 512/.482|223 100 1 Fischer, Veronique,|eauthor. 245 10 Quantization on Nilpotent lie groups /|cVeronique Fischer, Michael Ruzhansky. 264 1 Switzerland :|bBirkhäuser,|c2016. 300 1 online resource (xiii, 557 pages) :|bcolor illustrations. 336 text|btxt|2rdacontent 337 computer|bc|2rdamedia 338 online resource|bcr|2rdacarrier 490 1 Progress in mathematics,|x0743-1643 ;|vvolume 314 504 Includes bibliographical references and index. 505 0 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. 506 Open Access.|5GW5XE 520 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. 588 0 Online resource; title from PDF title page (SpringerLink, viewed March 15, 2016). 590 SpringerLink|bSpringer Nature Open Access eBooks 650 0 Nilpotent Lie groups. 650 7 Nilpotent Lie groups.|2fast|0(OCoLC)fst01037753 700 1 Ruzhansky, M.|q(Michael),|eauthor. 776 08 |iPrinted edition:|z9783319295572 830 0 Progress in mathematics (Boston, Mass.) ;|vv. 314.|x0743- 1643 880 8 |6505-00/(S|a3.1.5 Invariant differential operators on homogeneous Lie groups3.1.6 Homogeneous quasi-norms; 3.1.7 Polar coordinates; 3.1.8 Mean value theorem and Taylor expansion; Taylor expansion; 3.1.9 Schwartz space and tempered distributions; 3.1.10 Approximation of the identity; 3.2 Operators on homogeneous Lie groups; 3.2.1 Left-invariant operators on homogeneous Lie groups; 3.2.2 Left-invariant homogeneous operators; 3.2.3 Singular integral operators on homogeneous Lie groups; 3.2.4 Principal value distribution; 3.2.5 Operators of type ν = 0; 3.2.6 Properties of kernels of type ν, Re ν E [0,Q) 914 ocn944502145 994 92|bSTJ
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