Noncommutative Functional Calculus (Record no. 106596)

000 -LEADER
fixed length control field 02828nam a22005055i 4500
001 - CONTROL NUMBER
control field 978-3-0348-0110-2
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20140220083739.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 110317s2011 sz | s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783034801102
-- 978-3-0348-0110-2
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-3-0348-0110-2
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA329-329.9
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBKF
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT037000
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.724
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Colombo, Fabrizio.
Relator term author.
245 10 - TITLE STATEMENT
Title Noncommutative Functional Calculus
Medium [electronic resource] :
Remainder of title Theory and Applications of Slice Hyperholomorphic Functions /
Statement of responsibility, etc by Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa.
264 #1 -
-- Basel :
-- Springer Basel,
-- 2011.
300 ## - PHYSICAL DESCRIPTION
Extent VI, 222 p.
Other physical details online resource.
336 ## -
-- text
-- txt
-- rdacontent
337 ## -
-- computer
-- c
-- rdamedia
338 ## -
-- online resource
-- cr
-- rdacarrier
347 ## -
-- text file
-- PDF
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490 1# - SERIES STATEMENT
Series statement Progress in Mathematics ;
Volume number/sequential designation 289
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note 1 Introduction -- 2 Slice monogenic functions -- 3 Functional calculus for n-tuples of operators -- 4 Quaternionic Functional Calculus -- 5 Appendix: The Riesz-Dunford functional calculus -- Bibliography -- Index.
520 ## - SUMMARY, ETC.
Summary, etc This book presents a functional calculus for n-tuples of not necessarily commuting linear operators. In particular, a functional calculus for quaternionic linear operators is developed. These calculi are based on a new theory of hyperholomorphicity for functions with values in a Clifford algebra: the so-called slice monogenic functions which are carefully described in the book. In the case of functions with values in the algebra of quaternions these functions are named slice regular functions.
 

Except for the appendix and the introduction all results are new and appear for the first time organized in a monograph. The material has been carefully prepared to be as self-contained as possible. The intended audience consists of researchers, graduate and postgraduate students interested in operator theory, spectral theory,  hypercomplex analysis, and mathematical physics.

650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Functional analysis.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Functions of complex variables.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Operator theory.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Operator Theory.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Functional Analysis.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Functions of a Complex Variable.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Sabadini, Irene.
Relator term author.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Struppa, Daniele C.
Relator term author.
710 2# - ADDED ENTRY--CORPORATE NAME
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
Display text Printed edition:
International Standard Book Number 9783034801096
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Progress in Mathematics ;
Volume number/sequential designation 289
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/978-3-0348-0110-2
912 ## -
-- ZDB-2-SMA

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