000			03698nam a22005175i 4500
001			978-3-031-73430-4
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020			_a9783031734304 _9978-3-031-73430-4
024	7		_a10.1007/978-3-031-73430-4 _2doi
050		4	_aQA329-329.9
072		7	_aPBKF _2bicssc
072		7	_aMAT037000 _2bisacsh
072		7	_aPBKF _2thema
100	1		_aAlpay, Daniel. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _976556
245	1	0	_aQuaternionic Hilbert Spaces and Slice Hyperholomorphic Functions _h[electronic resource] / _cby Daniel Alpay, Fabrizio Colombo, Irene Sabadini.
250			_a1st ed. 2024.
264		1	_aCham : _bSpringer Nature Switzerland : _bImprint: Birkhäuser, _c2024.
300			_aXI, 348 p. 29 illus., 1 illus. in color. _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 ; _v304
505	0		_a- Part I Quaternionic functional analysis and related topics -- Functions of a Quaternionic Variable -- Quaternionic Banach and Hilbert Spaces -- Quaternionic Linear Operators on a Hilbert Space -- Reproducing Kernel Hilbert Spaces -- Part II Spaces of Slice Hyperholomorphic Functions -- Slice Hyperholomorphic Hardy Spaces -- de Branges Spaces -- Slice Hyperholomorphic Bergman Spaces -- Slice Hyperholomorphic Bloch, Besov and Dirichlet Spaces -- Slice Hyperholomorphic Fock Space -- Wiener Algebras -- Part III Various Extensions -- Slice Polyanalytic Functions -- Several Quaternionic Variables -- Function Spaces and Spectral Theories.
520			_aThe purpose of the present book is to develop the counterparts of Banach and Hilbert spaces in the setting of slice hyperholomorphic functions. Banach and Hilbert spaces of analytic functions, in one or several complex variables, play an important role in analysis and related fields. Besides their intrinsic interest, such spaces have numerous applications. The book is divided into three parts. In the first part, some foundational material on quaternionic functions and functional analysis are introduced. The second part is the core of the book and contains various types of functions spaces ranging from the Hardy spaces, also in the fractional case, to the Fock space extended to the case of quaternions. The third and final part present some further generalization. Researchers in functional analysis and hypercomplex analysis will find this book a key contribution to their field, but also researchers in mathematical physics, especially in quantum mechanics, will benefit from the insights presented.
650		0	_aOperator theory.
650	1	4	_aOperator Theory.
700	1		_aColombo, Fabrizio. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _929137
700	1		_aSabadini, Irene. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _929138
710	2		_aSpringerLink (Online service)
773	0		_tSpringer Nature eBook
776	0	8	_iPrinted edition: _z9783031734298
776	0	8	_iPrinted edition: _z9783031734311
776	0	8	_iPrinted edition: _z9783031734328
830		0	_aOperator Theory: Advances and Applications, _x2296-4878 ; _v304 _974617
856	4	0	_uhttps://doi.org/10.1007/978-3-031-73430-4
912			_aZDB-2-SMA
912			_aZDB-2-SXMS
999			_c65601 _d65601