Absolutely continuous spectrum of fourth order difference operators with unbounded coefficients on a Hilbert space
Language: English
Published by GRIN Verlag, GRIN Verlag Sep 2017, 2017
- Softcover
- New
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This item is printed on demand - Print on Demand Titel. Neuware -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.Books on Demand GmbH, Überseering 33, 22297 Hamburg 60 pp. Englisch.…
Seller Inventory # 9783668531512
- Title
- Absolutely continuous spectrum of fourth order difference operators with unbounded coefficients on a Hilbert space
- Author
- Evans Mogoi
- Publisher
- GRIN Verlag, GRIN Verlag Sep 2017
- Publication year
- 2017
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 366853151X
- ISBN 13
- 9783668531512
- Item weight
- 101 grams
- Dimensions
- 210x148x5 mm
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buchversandmimpf2000
Emtmannsberg, BAYE, Germany
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