000 02872nam a22004575i 4500
001 978-0-387-23626-1
003 DE-He213
005 20161121230923.0
007 cr nn 008mamaa
008 100301s2005 xxu| s |||| 0|eng d
020 _a9780387236261
_9978-0-387-23626-1
024 7 _a10.1007/b102102
_2doi
050 4 _aQA331-355
072 7 _aPBKD
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a515.9
_223
100 1 _aJerbashian, Armen M.
_eauthor.
245 1 0 _aFunctions of α-Bounded Type in the Half-Plane
_h[electronic resource] /
_cby Armen M. Jerbashian.
264 1 _aBoston, MA :
_bSpringer US,
_c2005.
300 _aXVI, 196 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aAdvances in Complex Analysis and Its Applications ;
_v4
505 0 _aThe Liouville Operator and Herglotz-Riesz Type Theorems -- Blaschke Type Products -- Equilibrium Relations and Factorizations -- Meromorphic Functions with Summable Tsuji Characteristics -- Boundary Values -- Uniform Approximations -- Subharmonic Functions with Nonnegative Harmonic Majorants -- Weighted Classes of Subharmonic Functions -- Functions of ?-Bounded Type in Spectral Theory of Non-Weak Contractions.
520 _aThis is a unique book related to the theory of functions of a-bounded type in the half-plane of the complex plane, which is constructed by application of the Liouville integro-differential operator. In addition, the book contains improvements of several results such as the Phragmen-Lindelof Principle and Nevanlinna Factorization in the Half-Plane, and offers a new, equivalent definition of the classical Hardy spaces in the half-plane. The last chapter of the book presents an application of the constructed theory as well as M.M.Djrbashian’s theory of Nevanlinna type classes in the disc in the spectral theory of linear operators. This is a solution of a problem repeatedly stated by M.G.Krein and being of special interest for a long time. Audience The book is proposed for a wide range of readers. Some of its parts are comprehensible for graduate students, while the book in the whole is intended for new researchers and qualified specialists in the field.
650 0 _aMathematics.
650 0 _aFunctions of complex variables.
650 0 _aOperator theory.
650 1 4 _aMathematics.
650 2 4 _aFunctions of a Complex Variable.
650 2 4 _aOperator Theory.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387236254
830 0 _aAdvances in Complex Analysis and Its Applications ;
_v4
856 4 0 _uhttp://dx.doi.org/10.1007/b102102
912 _aZDB-2-SMA
950 _aMathematics and Statistics (Springer-11649)
999 _c505936
_d505936