Analysis on Lie Groups with Polynomial Growth: Progress in Mathematics, cartea 214
Autor Nick Dungey, A.F.M. (Tom) ter Elst, Derek William Robinsonen Limba Engleză Paperback – 16 sep 2011
This work is aimed at graduate students as well as researchers in the above areas. Prerequisites include knowledge of basic results from semigroup theory and Lie group theory.
Toate formatele și edițiile | Preț | Express |
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Paperback (1) | 381.87 lei 6-8 săpt. | |
Birkhäuser Boston – 16 sep 2011 | 381.87 lei 6-8 săpt. | |
Hardback (1) | 388.07 lei 6-8 săpt. | |
Birkhäuser Boston – 12 sep 2003 | 388.07 lei 6-8 săpt. |
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Specificații
ISBN-13: 9781461273998
ISBN-10: 1461273994
Pagini: 324
Ilustrații: VIII, 312 p.
Dimensiuni: 155 x 235 x 17 mm
Greutate: 0.45 kg
Ediția:Softcover reprint of the original 1st ed. 2003
Editura: Birkhäuser Boston
Colecția Birkhäuser
Seria Progress in Mathematics
Locul publicării:Boston, MA, United States
ISBN-10: 1461273994
Pagini: 324
Ilustrații: VIII, 312 p.
Dimensiuni: 155 x 235 x 17 mm
Greutate: 0.45 kg
Ediția:Softcover reprint of the original 1st ed. 2003
Editura: Birkhäuser Boston
Colecția Birkhäuser
Seria Progress in Mathematics
Locul publicării:Boston, MA, United States
Public țintă
GraduateCuprins
I Introduction.- II General Formalism.- II.1 Lie groups and Lie algebras.- II.2 Subelliptic operators.- II.3 Subelliptic kernels.- II.4 Growth properties.- II.5 Real operators.- II.6 Local bounds on kernels.- II.7 Compact groups.- II.8 Transference method.- II.9 Nilpotent groups.- II.10 De Giorgi estimates.- II.11 Almost periodic functions.- II.12 Interpolation.- Notes and Remarks.- III Structure Theory.- III.1 Complementary subspaces.- III.2 The nilshadow; algebraic structure.- III.3 Uniqueness of the nilshadow.- III.4 Near-nilpotent ideals.- III.5 Stratified nilshadow.- III.6 Twisted products.- III.7 The nilshadow; analytic structure.- Notes and Remarks.- IV Homogenization and Kernel Bounds.- IV.1 Subelliptic operators.- IV.2 Scaling.- IV.3 Homogenization; correctors.- IV.4 Homogenized operators.- IV.5 Homogenization; convergence.- IV.6 Kernel bounds; stratified nilshadow.- IV.7 Kernel bounds; general case.- Notes and Remarks.- V Global Derivatives.- V.1 L2-bounds.- V.2 Gaussian bounds.- V.3 Anomalous behaviour.- Notes and Remarks.- VI Asymptotics.- VI. 1 Asymptotics of semigroups.- VI.2 Asymptotics of derivatives.- Notes and Remarks.- Appendices.- A.1 De Giorgi estimates.- A.2 Morrey and Campanato spaces.- A.3 Proof of Theorem II.10.5.- A.4 Rellich lemma.- Notes and Remarks.- References.- Index of Notation.
Recenzii
"The book is written in a very concise, clear, and elegant way. Misprints are rare… There are no exercises, but the book is well equipped with examples, which help to understand the assertions and are, as a rule, of independent interest. To sum up, the text presents an extremely interesting account of some of the most important developments in the chosen direction."
—MATHEMATICAL REVIEWS
"The boal of the book under review is to present a method for examing the surprising connection between invariant differential operators and almost periodic operators on Lie groups with polynomial growth. . . The book is deveoted to a very interesting topic. It is aimed to graduate studetns as well as researchers, and it can be highly recommended."
---ZAA
—MATHEMATICAL REVIEWS
"The boal of the book under review is to present a method for examing the surprising connection between invariant differential operators and almost periodic operators on Lie groups with polynomial growth. . . The book is deveoted to a very interesting topic. It is aimed to graduate studetns as well as researchers, and it can be highly recommended."
---ZAA
Caracteristici
Completely self-contained work, including a review of well-established local theory for elliptic operators and a summary of the essential aspects of Lie group theory Numerous illustrative examples Appendices covering technical subtleties An exhaustive bibliography and index