Name: Absolutely Continuous Spectrum of Fourth Order Difference Operators With Unbounded Coefficients on a Hilbert Space (en Inglés)
SKU: 63025861
Price: 147200.00 COP
Availability: InStock
Author: Evans Mogoi
ISBN: 9783668531512

portada Absolutely Continuous Spectrum of Fourth Order Difference Operators With Unbounded Coefficients on a Hilbert Space (en Inglés)

Absolutely Continuous Spectrum of Fourth Order Difference Operators With Unbounded Coefficients on a Hilbert Space (en Inglés)

Formato

Libro Físico

Editorial

Grin Verlag

Autor

Evans Mogoi

Idioma

Inglés

N° páginas

Encuadernación

Tapa Blanda

ISBN13

9783668531512

Absolutely Continuous Spectrum of Fourth Order Difference Operators With Unbounded Coefficients on a Hilbert Space (en Inglés)

Evans Mogoi (Autor) · Grin Verlag · Tapa Blanda

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Reseña del libro "Absolutely Continuous Spectrum of Fourth Order Difference Operators With Unbounded Coefficients on a Hilbert Space (en Inglés)"

Master's Thesis from the year 2015 in the subject Mathematics - Analysis, grade: A, course: MSC Pure mathematics, language: English, abstract: In this study, the author has investigated the absolutely continuous spectrum of a fourth order self-adjoint extension operator of minimal operator generated by difference equation defined on a weighted Hilbert space with the weight function w(t) > 0, t ∈ N where p(t), q(t), r(t) and m(t) are real-valued functions. The author has applied the M-matrix theory as developed in Hinton and Shaw in order to compute the spectral multiplicity and the location of the absolutely continuous spectrum of self-adjoint extension operator. These results have been an extension of some known spectral results of fourth order differential operators to difference setting. Similarly, they have extended results found in Jacobi matrices. In this thesis, chapter 1 is about introduction and some preliminary results including literature review, objectives, methodology and basic definitions. In chapter 2, the author has given the results on the computation of the eigenvalues, dichotomy conditions and some results on singular continuous spectrum. Chapter 3 contains the main results in deficiency indices, absolutely continuous spectrum and the spectral multiplicity. Finally, the author has summarized his results in chapter 4 and also highlighted areas of further research.