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110217s2011 xxu| s |||| 0|eng d |
| 020 ## - NÚMERO INTERNACIONAL NORMALIZADO PARA LIBROS |
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| International Standard Book Number |
9781441972453 |
| -- |
978-1-4419-7245-3 |
| 040 ## - FUENTE DE CATALOGACIÓN |
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| Transcribing agency |
MX-MeUAM |
| 050 #4 - SIGNATURA TOPOGRÁFICA DE LA BIBLIOTECA DEL CONGRESO |
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| Classification number |
QA276-280 |
| 082 04 - NÚMERO DE CLASIFICACIÓN DECIMAL DEWEY |
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| Classification number |
519.5 |
| Edition number |
23 |
| 100 1# - ASIENTO PRINCIPAL--NOMBRE PERSONAL |
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| Personal name |
Davis, Burgess. |
| Relator term |
editor. |
| 245 10 - MENCIÓN DE TITULO |
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| Title |
Selected Works of Donald L. Burkholder |
| Medium |
[recurso electrónico] / |
| Statement of responsibility, etc. |
edited by Burgess Davis, Renming Song. |
| 250 ## - MENCIÓN DE EDICIÓN |
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| Edition statement |
1. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
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| 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 |
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| Extent |
XXV, 729 p. |
| Other physical details |
online resource. |
| 336 ## - CONTENT TYPE |
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| Content type term |
text |
| Content type code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
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| Media type term |
computer |
| Media type code |
c |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
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| Carrier type term |
online resource |
| Carrier type code |
cr |
| Source |
rdacarrier |
| 347 ## - DIGITAL FILE CHARACTERISTICS |
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| File type |
text file |
| Encoding format |
PDF |
| Source |
rda |
| 490 1# - MENCIÓN DE SERIE |
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| Series statement |
Selected Works in Probability and Statistics |
| 505 0# - NOTA DE CONTENIDO |
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| Formatted contents note |
On a class of stochastic approximation processes -- Sufficiency in the undominated case -- Iterates of conditional expectation operators -- On the order structure of the set of sufficient subfields -- Semi-Gaussian subspaces -- Successive conditional expectations of an integrable function -- Maximal inequalities as necessary conditions for almost everywhere convergence -- Martingale transforms. Ann. Math. Statist -- Extrapolation and interpolation of quasilinear operators on martingales -- A maximal function characterization of the class Hp -- Distribution function inequalities for the area integral -- Distribution function inequalities for martingales -- Boundary behaviour of harmonic functions in a half-space and Brownian motion -- One-sided maximal functions and Hp. J. Functional Analysis -- Boundary value estimation of the range of an analytic function -- A sharp inequality for martingale transforms -- Weak inequalities for exit times and analytic functions -- A geometrical characterization of Banach spaces in which martingale difference sequences are unconditional -- Martingale transforms and the geometry of Banach spaces -- A nonlinear partial differential equation and the unconditional constant of the Haar system in Lp -- Boundary value problems and sharp inequalities for martingale transforms -- An elementary proof of an inequality of R. E. A. C. Paley -- Martingales and Fourier analysis in Banach spaces -- A sharp and strict Lp-inequality for stochastic integrals -- A proof of Pelczyn´ski??s conjecture for the Haar system -- Differential subordination of harmonic functions and martingales -- Explorations in martingale theory and its applications -- Strong differential subordination and stochastic integration -- The best constant in the Davis inequality for the expectation of the martingale square function -- Joseph L. Doob. |
| 520 ## - NOTA DE RESUMEN, ETC. |
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| Summary, etc. |
This book chronicles Donald Burkholder's thirty-five year study of martingales and its consequences. Here are some of the highlights. Pioneering work by Burkholder and Donald Austin on the discrete time martingale square function led to Burkholder and Richard Gundy's proof of inequalities comparing the quadratic variations and maximal functions of continuous martingales, inequalities which are now indispensable tools for stochastic analysis. Part of their proof showed how novel distributional inequalities between the maximal function and quadratic variation lead to inequalities for certain integrals of functions of these operators. The argument used in their proof applies widely and is now called the Burkholder-Gundy good lambda method. This uncomplicated and yet extremely elegant technique, which does not involve randomness, has become important in many parts of mathematics. The continuous martingale inequalities were then used by Burkholder, Gundy, and Silverstein to prove the converse of an old and celebrated theorem of Hardy and Littlewood. This paper transformed the theory of Hardy spaces of analytic functions in the unit disc and extended and completed classical results of Marcinkiewicz concerning norms of conjugate functions and Hilbert transforms. While some connections between probability and analytic and harmonic functions had previously been known, this single paper persuaded many analysts to learn probability. These papers together with Burkholder's study of martingale transforms led to major advances in Banach spaces. A simple geometric condition given by Burkholder was shown by Burkholder, Terry McConnell, and Jean Bourgain to characterize those Banach spaces for which the analog of the Hilbert transform retains important properties of the classical Hilbert transform. Techniques involved in Burkholder's usually successful pursuit of best constants in martingale inequalities have become central to extensive recent research into two well- known open problems, one involving the two dimensional Hilbert transform and its connection to quasiconformal mappings and the other a conjecture in the calculus of variations concerning rank-one convex and quasiconvex functions. This book includes reprints of many of Burkholder's papers, together with two commentaries on his work and its continuing impact. |
| 596 ## - |
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| -- |
19 |
| 650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
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| Topical term or geographic name as entry element |
Statistics. |
| 650 #0 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
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| Topical term or geographic name as entry element |
Mathematical statistics. |
| 650 14 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
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| Topical term or geographic name as entry element |
Statistics. |
| 650 24 - ASIENTO SECUNDARIO DE MATERIA - TERMINO TEMÁTICO |
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| Topical term or geographic name as entry element |
Statistical Theory and Methods. |
| 700 1# - ASIENTO SECUNDARIO - NOMBRE PERSONAL |
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| Personal name |
Song, Renming. |
| Relator term |
editor. |
| 710 2# - ASIENTO SECUNDARIO - NOMBRE CORPORATIVO |
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| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY |
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| Title |
Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
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| Relationship information |
Printed edition: |
| International Standard Book Number |
9781441972446 |
| 830 #0 - ASIENTO SECUNDARIO DE SERIE--TITULO UNIFORME |
|---|
| Uniform title |
Selected Works in Probability and Statistics |
| 856 40 - LOCALIZACIÓN Y ACCESO ELECTRÓNICOS |
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| Public note |
Libro electrónico |
| Uniform Resource Identifier |
<a href="http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-1-4419-7245-3">http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-1-4419-7245-3</a> |
| 942 ## - TIPO DE MATERIAL (KOHA) |
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| Koha item type |
Libro Electrónico |
