Show simple item record

dc.contributor.authorPedrick, George
dc.date.accessioned2015-08-28T15:03:08Z
dc.date.available2015-08-28T15:03:08Z
dc.date.issued1957
dc.identifier.urihttp://hdl.handle.net/1808/18369
dc.description1 v. ; 29 cm. Includes bibliographical references.en_US
dc.description.abstractThe general theory of reproducing kernels developed by N. Aronszajn provides a unifying point of view for the study of an important class of Hilbert spaces of real or complex valued functions and for the appli­cation of the methods of Hilbert space theory to different problems in the theory of partial differential equations. With a view to applications to systems of such equations the form which the theory takes in the case of spaces of vector valued functions was inves­tigated, initially for finite dimensional and Hilbert range spaces. It was found that the natural setting for such a generalization of the theory is that in which the functions of the functional Hilbert space take their values in an arbitrary locally convex linear topological space, since all of the main re­sults are essentially preserved in that setting and a more special case would restrict unduly the applications. The present study is confined to the exposition of the general theory with a few illustrations and undertakes to extend the basic notions of proper functional space, reproducing kernel and positive matrix and their proper­ ties as they occur in the paper of N. Aronszajn.en_US
dc.language.isoenen_US
dc.publisherUniversity of Kansasen_US
dc.rightsThis item is protected by copyright and unless otherwise specified the copyright of this thesis/dissertation is held by the author.
dc.subjectHilbert spaceen_US
dc.subjectVector valued functionsen_US
dc.titleTheory of reproducing kernels for Hilbert spaces of vector valued functionsen_US
dc.typeDissertation
dc.thesis.degreeDisciplineMathematics
dc.thesis.degreeLevelPh.D.
kusw.kudepartmentMathematicsen_US
kusw.oapolicyThis item does not meet KU Open Access policy criteria.
dc.rights.accessrightsopenAccess


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record