000 02828nam a22005055i 4500
001 978-3-0348-0110-2
003 DE-He213
005 20140220083739.0
007 cr nn 008mamaa
008 110317s2011 sz | s |||| 0|eng d
020 _a9783034801102
_9978-3-0348-0110-2
024 7 _a10.1007/978-3-0348-0110-2
_2doi
050 4 _aQA329-329.9
072 7 _aPBKF
_2bicssc
072 7 _aMAT037000
_2bisacsh
082 0 4 _a515.724
_223
100 1 _aColombo, Fabrizio.
_eauthor.
245 1 0 _aNoncommutative Functional Calculus
_h[electronic resource] :
_bTheory and Applications of Slice Hyperholomorphic Functions /
_cby Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa.
264 1 _aBasel :
_bSpringer Basel,
_c2011.
300 _aVI, 222 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aProgress in Mathematics ;
_v289
505 0 _a1 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 _a<i>This book presents a functional calculus for <i>n</i>-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.</i> <br>  <p>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.</p>
650 0 _aMathematics.
650 0 _aFunctional analysis.
650 0 _aFunctions of complex variables.
650 0 _aOperator theory.
650 1 4 _aMathematics.
650 2 4 _aOperator Theory.
650 2 4 _aFunctional Analysis.
650 2 4 _aFunctions of a Complex Variable.
700 1 _aSabadini, Irene.
_eauthor.
700 1 _aStruppa, Daniele C.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783034801096
830 0 _aProgress in Mathematics ;
_v289
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-0348-0110-2
912 _aZDB-2-SMA
999 _c106596
_d106596