Cargando…

Harmonic Analysis on Symmetric Spaces-Higher Rank Spaces, Positive Definite Matrix Space and Generalizations

This text explores the geometry and analysis of higher rank analogues of the symmetric spaces introduced in volume one. To illuminate both the parallels and differences of the higher rank theory, the space of positive matrices is treated in a manner mirroring that of the upper-half space in volume o...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Terras, Audrey (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2016.
Edición:2nd ed. 2016.
Temas:
Acceso en línea:Texto Completo

MARC

LEADER 00000nam a22000005i 4500
001 978-1-4939-3408-9
003 DE-He213
005 20220112130957.0
007 cr nn 008mamaa
008 160426s2016 xxu| s |||| 0|eng d
020 |a 9781493934089  |9 978-1-4939-3408-9 
024 7 |a 10.1007/978-1-4939-3408-9  |2 doi 
050 4 |a QA403-403.3 
072 7 |a PBKD  |2 bicssc 
072 7 |a MAT034000  |2 bisacsh 
072 7 |a PBKD  |2 thema 
082 0 4 |a 515.785  |2 23 
100 1 |a Terras, Audrey.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Harmonic Analysis on Symmetric Spaces-Higher Rank Spaces, Positive Definite Matrix Space and Generalizations  |h [electronic resource] /  |c by Audrey Terras. 
250 |a 2nd ed. 2016. 
264 1 |a New York, NY :  |b Springer New York :  |b Imprint: Springer,  |c 2016. 
300 |a XV, 487 p. 41 illus., 21 illus. in color.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
520 |a This text explores the geometry and analysis of higher rank analogues of the symmetric spaces introduced in volume one. To illuminate both the parallels and differences of the higher rank theory, the space of positive matrices is treated in a manner mirroring that of the upper-half space in volume one. This concrete example furnishes motivation for the general theory of noncompact symmetric spaces, which is outlined in the final chapter. The book emphasizes motivation and comprehensibility, concrete examples and explicit computations (by pen and paper, and by computer), history, and, above all, applications in mathematics, statistics, physics, and engineering. The second edition includes new sections on Donald St. P. Richards's central limit theorem for O(n)-invariant random variables on the symmetric space of GL(n, R), on random  matrix theory, and on advances in the theory of automorphic forms on arithmetic groups. 
650 0 |a Harmonic analysis. 
650 0 |a Number theory. 
650 0 |a Geometry. 
650 0 |a Discrete mathematics. 
650 0 |a Mathematics. 
650 0 |a Statistics . 
650 1 4 |a Abstract Harmonic Analysis. 
650 2 4 |a Number Theory. 
650 2 4 |a Geometry. 
650 2 4 |a Discrete Mathematics. 
650 2 4 |a Applications of Mathematics. 
650 2 4 |a Statistical Theory and Methods. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9781493934065 
776 0 8 |i Printed edition:  |z 9781493934072 
776 0 8 |i Printed edition:  |z 9781493980420 
856 4 0 |u https://doi.uam.elogim.com/10.1007/978-1-4939-3408-9  |z Texto Completo 
912 |a ZDB-2-SMA 
912 |a ZDB-2-SXMS 
950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713)