02756nam a22004095i 4500001001800000003000900018005001700027007001500044008004100059020001800100020001900118024002500137040000900162082001400171100003400185245010300219264003800322300003400360336002600394337002600420338003900446347002400485490005900509505041800568520096900986650001701955650003601972650002102008650001702029650003702046650002102083710003402104773002002138776003602158830005902194856009302253978-0-387-23626-1DE-He21320260521091828.0cr nn 008mamaa100301s2005    xxu|    s    |||| 0|eng d  a9780387236261  a997803872362617 a10.1007/b1021022doi  cCICY04a515.92231 aJerbashian, Armen M.eauthor.10aFunctions of α-Bounded Type in the Half-Planeh[recurso electrónico] /cby Armen M. Jerbashian. 1aBoston, MA :bSpringer US,c2005.  aXVI, 196 p.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  arecurso en líneabcr2rdacarrier  atext filebPDF2rda1 aAdvances in Complex Analysis and Its Applications ;v40 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.  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. 0aMATHEMATICS. 0aFUNCTIONS OF COMPLEX VARIABLES. 0aOPERATOR THEORY.14aMATHEMATICS.24aFUNCTIONS OF A COMPLEX VARIABLE.24aOPERATOR THEORY.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z9780387236254 0aAdvances in Complex Analysis and Its Applications ;v440uhttp://dx.doi.org/10.1007/b102102zVer el texto completo en las instalaciones del CICY