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110727s2011 xxu| s |||| 0|eng d |
| 020 ## - NÚMERO INTERNACIONAL NORMALIZADO PARA LIBROS |
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| International Standard Book Number |
9781441998132 |
| -- |
978-1-4419-9813-2 |
| 040 ## - FUENTE DE CATALOGACIÓN |
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| Transcribing agency |
MX-MeUAM |
| 050 #4 - SIGNATURA TOPOGRÁFICA DE LA BIBLIOTECA DEL CONGRESO |
|---|
| Classification number |
QA370-380 |
| 082 04 - NÚMERO DE CLASIFICACIÓN DECIMAL DEWEY |
|---|
| Classification number |
515.353 |
| Edition number |
23 |
| 100 1# - ASIENTO PRINCIPAL--NOMBRE PERSONAL |
|---|
| Personal name |
Tartakoff, David S. |
| Relator term |
author. |
| 245 10 - MENCIÓN DE TITULO |
|---|
| Title |
Nonelliptic Partial Differential Equations |
| Medium |
[recurso electrónico] : |
| Remainder of title |
Analytic Hypoellipticity and the Courage to Localize High Powers of T / |
| Statement of responsibility, etc. |
by David S. Tartakoff. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Place of production, publication, distribution, manufacture |
New York, NY : |
| Name of producer, publisher, distributor, manufacturer |
Springer New York, |
| Date of production, publication, distribution, manufacture, or copyright notice |
2011. |
| 300 ## - DESCRIPCIÓN FÍSICA |
|---|
| Extent |
VIII, 203 p. |
| Other physical details |
online resource. |
| 336 ## - CONTENT TYPE |
|---|
| Content type term |
text |
| Content type code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
|---|
| Media type term |
computer |
| Media type code |
c |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
|---|
| Carrier type term |
online resource |
| Carrier type code |
cr |
| Source |
rdacarrier |
| 347 ## - DIGITAL FILE CHARACTERISTICS |
|---|
| File type |
text file |
| Encoding format |
PDF |
| Source |
rda |
| 490 1# - MENCIÓN DE SERIE |
|---|
| Series statement |
Developments in Mathematics, |
| International Standard Serial Number |
1389-2177 ; |
| Volume/sequential designation |
22 |
| 505 0# - NOTA DE CONTENIDO |
|---|
| Formatted contents note |
1. What this book is and is not -- 2. Brief Introduction -- 3.Overview of Proofs -- 4. Full Proof for the Heisenberg Group -- 5. Coefficients -- 6. Pseudo-differential Problems -- 7. Sums of Squares and Real Vector Fields -- 8. \bar{\partial}-Neumann and the Boundary Laplacian -- 9. Symmetric Degeneracies -- 10. Details of the Previous Chapter. -11. Non-symplectic Strategem ahe -- 12. Operators of Kohn Type Which Lose Derivatives -- 13. Non-linear Problems -- 14. Treves' Approach -- 15. Appendix -- Bibliography. |
| 520 ## - NOTA DE RESUMEN, ETC. |
|---|
| Summary, etc. |
This book fills a real gap in the analytical literature. After many years and many results of analytic regularity for partial differential equations, the only access to the technique known as (T^p)_\phi has remained embedded in the research papers themselves, making it difficult for a graduate student or a mature mathematician in another discipline to master the technique and use it to advantage. This monograph takes a particularly non-specialist approach, one might even say gentle, to smoothly bring the reader into the heart of the technique and its power, and ultimately to show many of the results it has been instrumental in proving. Another technique developed simultaneously by F. Treves is developed and compared and contrasted to ours. The techniques developed here are tailored to proving real analytic regularity to solutions of sums of squares of vector fields with symplectic characteristic variety and others, real and complex. The motivation came from the field of several complex variables and the seminal work of J. J. Kohn. It has found application in non-degenerate (strictly pseudo-convex) and degenerate situations alike, linear and non-linear, partial and pseudo-differential equations, real and complex analysis. The technique is utterly elementary, involving powers of vector fields and carefully chosen localizing functions. No knowledge of advanced techniques, such as the FBI transform or the theory of hyperfunctions is required. In fact analyticity is proved using only C^\infty techniques. The book is intended for mathematicians from graduate students up, whether in analysis or not, who are curious which non-elliptic partial differential operators have the property that all solutions must be real analytic. Enough background is provided to prepare the reader with it for a clear understanding of the text, although this is not, and does not need to be, very extensive. In fact, it is very nearly true that if the reader is willing to accept the fact that pointwise bounds on the derivatives of a function are equivalent to bounds on the L^2 norms of its derivatives locally, the book should read easily. |
| 596 ## - |
|---|
| -- |
19 |
| 650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
|---|
| Topical term or geographic name as entry element |
Mathematics. |
| 650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
|---|
| Topical term or geographic name as entry element |
Global analysis (Mathematics). |
| 650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
|---|
| Topical term or geographic name as entry element |
Differential equations, partial. |
| 650 14 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
|---|
| Topical term or geographic name as entry element |
Mathematics. |
| 650 24 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
|---|
| Topical term or geographic name as entry element |
Partial Differential Equations. |
| 650 24 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
|---|
| Topical term or geographic name as entry element |
Analysis. |
| 710 2# - ASIENTO SECUNDARIO - NOMBRE CORPORATIVO |
|---|
| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY |
|---|
| Title |
Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Relationship information |
Printed edition: |
| International Standard Book Number |
9781441998125 |
| 830 #0 - ASIENTO SECUNDARIO DE SERIE--TITULO UNIFORME |
|---|
| Uniform title |
Developments in Mathematics, |
| International Standard Serial Number |
1389-2177 ; |
| Volume number/sequential designation |
22 |
| 856 40 - LOCALIZACIÓN Y ACCESO ELECTRÓNICOS |
|---|
| Public note |
Libro electrónico |
| Uniform Resource Identifier |
<a href="http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-1-4419-9813-2">http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-1-4419-9813-2</a> |
| 942 ## - TIPO DE MATERIAL (KOHA) |
|---|
| Koha item type |
Libro Electrónico |
