Graduate Thesis Or Dissertation
 

Generalizations of the Watson transforms

Público Deposited

Conteúdo disponível para baixar

Baixar PDF
https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/pr76f754r

Descriptions

Attribute NameValues
Creator
Abstract
  • The generalized Hankel transforms are studied in the first part of this thesis; these include the Watson transforms as a special case. For the validity of the reciprocal relations, a necessary and sufficient condition on the kernel is proved. The proof involves first changing the variables so that all the relations can be written in the form of convolutions, and then applying the Fourier- Plancherel transforms to reduce the transcendental equations to simple algebraic equations. In the second part of the thesis, unitary mappings on the Hilbert space of square-integrable functions are characterized "analytically". A specialization of the kernels appearing in these analytic formulas yields the Watson transforms. A theorem on obtaining new pairs of kernels from two pairs of known ones is proved.
Resource Type
Date Available
Date Issued
Degree Level
Degree Name
Degree Field
Degree Grantor
Commencement Year
Advisor
Academic Affiliation
Non-Academic Affiliation
Subject
Declaração de direitos
Publisher
Peer Reviewed
Language
Digitization Specifications
  • File scanned at 300 ppi (Monochrome) using ScandAll PRO 1.8.1 on a Fi-6670 in PDF format. CVista PdfCompressor 4.0 was used for pdf compression and textual OCR.
Replaces

Relações

Parents:

This work has no parents.

Em Collection:

Itens

Miniatura Título Data de carga Acesso Ações
file details PandeyNagendraNath1972.pdf 2017-10-20 Público Baixar