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020 _a9783031761812
_9978-3-031-76181-2
024 7 _a10.1007/978-3-031-76181-2
_2doi
050 4 _aQA331.7
072 7 _aPBKD
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aPBKD
_2thema
100 1 _aVasilevski, Nikolai.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_989955
245 1 0 _aPolyanalytic Type Function Spaces
_h[electronic resource] /
_cby Nikolai Vasilevski.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Birkhäuser,
_c2024.
300 _aXXX, 174 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aOperator Theory: Advances and Applications,
_x2296-4878 ;
_v305
505 0 _aForeword -- Preface -- Introduction -- I Spaces of polyanalytic type in one complex variable -- 1 Extended Fock-space construction approach -- 2 Complex plane C case -- 3 Unit disk D case -- 4 Upper half-plane Π case -- 5 Basis oriented approach -- 6 Approach based on pure isometries -- II Spaces of polyanalytic type in several complex variables -- 7 Multi-operator extended Fock-space construction -- 8 The Cn case -- 9 The unit ball Bn case -- 10 Hilbert spaces with generalized Gaussian measure on C2 -- 11 The Siegel domain case -- Bibliography -- Index.
520 _aThis book is about function spaces aspects of polyanalytic functions, a topic that has gained a lot of attention in the past decades. This book fills a gap in literature and is written by a leading researcher in the field. Rather than studying polyanalytic functions from a complex analysis point of view, it considers the (Lie)-algebraic part of the theory. Several generalizations are offered. The presented theory has many applications, including to quantum physics. An extensive introduction to the topic is provided, making the book accessible to specialists and newcomers alike.
650 0 _aFunctions of complex variables.
_972222
650 0 _aOperator theory.
650 1 4 _aSeveral Complex Variables and Analytic Spaces.
_972225
650 2 4 _aOperator Theory.
650 2 4 _aFunctions of a Complex Variable.
_972224
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031761805
776 0 8 _iPrinted edition:
_z9783031761829
776 0 8 _iPrinted edition:
_z9783031761836
830 0 _aOperator Theory: Advances and Applications,
_x2296-4878 ;
_v305
_974617
856 4 0 _uhttps://doi.org/10.1007/978-3-031-76181-2
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
999 _c66232
_d66232