A. M. Jerbashian

Functions of A-Bounded Type in the Half-Plane

• Gebundenes Buch

Produktbeschreibung

This 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.

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Produktdetails

• Advances in Complex Analysis and Its Applications 4
• Verlag: Springer, Berlin
• 2005 edition
• Seitenzahl: 196
• Erscheinungstermin: 10. Januar 2005
• Englisch
• Abmessung: 245mm x 167mm x 20mm
• Gewicht: 488g
• ISBN-13: 9780387236254
• ISBN-10: 0387236252
• Artikelnr.: 13734047

Autorenporträt

Armen M. Jerbashian, National Academy of Sciences of Armenia, Yerevan, Armenia

Inhaltsangabe

Preface.- Intro.- The Liouville Operator.- Blaschke Type Products.- Equilibrium Relations and Factorization.- Meromorphic Functions.- Boundary Values.- Uniform Approximations.- Subharmonic Functions.- Weighted Classes of Subharmonic Functions.- Functions of a-Bounded Type in Spectral Theory.- References.- Index.

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The 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.