國立虎尾科技大學 |

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

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Harmonic Analysis on Symmetric Spaces—Higher Rank Spaces, Positive Definite Matrix Space and Generalizations/ by Audrey Terras.
作者:	Terras, Audrey.
面頁冊數:	XV, 487 p. 41 illus., 21 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Harmonic analysis. -
電子資源:	https://doi.org/10.1007/978-1-4939-3408-9
ISBN:	9781493934089

Harmonic Analysis on Symmetric Spaces—Higher Rank Spaces, Positive Definite Matrix Space and Generalizations
Terras, Audrey.

Harmonic Analysis on Symmetric Spaces—Higher Rank Spaces, Positive Definite Matrix Space and Generalizations[electronic resource] /by Audrey Terras. - 2nd ed. 2016. - XV, 487 p. 41 illus., 21 illus. in color.online resource.

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.

ISBN: 9781493934089

Standard No.: 10.1007/978-1-4939-3408-9doiSubjects--Topical Terms:

672073
Harmonic analysis.

LC Class. No.: QA403-403.3

Dewey Class. No.: 515.785

Harmonic Analysis on Symmetric Spaces—Higher Rank Spaces, Positive Definite Matrix Space and Generalizations
LDR:02330nam a22003855i 4500 001 971978
003 DE-He213
005 20200703082519.0
007 cr nn 008mamaa
008 201211s2016 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
035 $a 978-1-4939-3408-9
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. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1078640
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. $3 672073
650 0 $a Number theory. $3 527883
650 0 $a Geometry. $3 579899
650 0 $a Combinatorics. $3 669353
650 0 $a Applied mathematics. $3 1069907
650 0 $a Engineering mathematics. $3 562757
650 0 $a Statistics . $3 1253516
650 1 4 $a Abstract Harmonic Analysis. $3 672075
650 2 4 $a Number Theory. $3 672023
650 2 4 $a Applications of Mathematics. $3 669175
650 2 4 $a Statistical Theory and Methods. $3 671396
710 2 $a SpringerLink (Online service) $3 593884
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.org/10.1007/978-1-4939-3408-9
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)