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| Author | : Samir A. Wazzi |
| Publisher | : |
| Total Pages | : 102 |
| Release | : 1996 |
| Genre | : Functions, Orthogonal |
| ISBN | : |
| Author | : Alouf Jirari |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 154 |
| Release | : 1995 |
| Genre | : Mathematics |
| ISBN | : 082180359X |
This memoir presents machinery for analyzing many discrete physical situations, and should be of interest to physicists, engineers, and mathematicians. We develop a theory for regular and singular Sturm-Liouville boundary value problems for difference equations, generalizing many of the known results for differential equations. We discuss the self-adjointness of these problems as well as their abstract spectral resolution in the appropriate [italic capital]L2 setting, and give necessary and sufficient conditions for a second-order difference operator to be self-adjoint and have orthogonal polynomials as eigenfunctions.
| Author | : Werner O. Amrein |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 348 |
| Release | : 2005-12-05 |
| Genre | : Mathematics |
| ISBN | : 3764373598 |
This is a collection of survey articles based on lectures presented at a colloquium and workshop in Geneva in 2003 to commemorate the 200th anniversary of the birth of Charles François Sturm. It aims at giving an overview of the development of Sturm-Liouville theory from its historical roots to present day research. It is the first time that such a comprehensive survey has been made available in compact form. The contributions come from internationally renowned experts and cover a wide range of developments of the theory. The book can therefore serve both as an introduction to Sturm-Liouville theory and as background for ongoing research. The volume is addressed to researchers in related areas, to advanced students and to those interested in the historical development of mathematics. The book will also be of interest to those involved in applications of the theory to diverse areas such as engineering, fluid dynamics and computational spectral analysis.
| Author | : Manuel Alfaro |
| Publisher | : Springer |
| Total Pages | : 351 |
| Release | : 2006-11-14 |
| Genre | : Mathematics |
| ISBN | : 3540392955 |
The Segovia meeting set out to stimulate an intensive exchange of ideas between experts in the area of orthogonal polynomials and its applications, to present recent research results and to reinforce the scientific and human relations among the increasingly international community working in orthogonal polynomials. This volume contains original research papers as well as survey papers about fundamental questions in the field (Nevai, Rakhmanov & López) and its relationship with other fields such as group theory (Koornwinder), Padé approximation (Brezinski), differential equations (Krall, Littlejohn) and numerical methods (Rivlin).
| Author | : Mohammad Masjed-Jamei |
| Publisher | : Springer Nature |
| Total Pages | : 322 |
| Release | : 2020-01-25 |
| Genre | : Mathematics |
| ISBN | : 3030328201 |
This book discusses theoretical and applied aspects of Sturm-Liouville theory and its generalization. It introduces and classifies generalized Sturm-Liouville problems in three different spaces: continuous, discrete, and q-discrete spaces, focusing on special functions that are solutions of a regular or singular Sturm-Liouville problem. Further, it describes the conditions under which the usual Sturm-Liouville problems with symmetric solutions can be extended to a larger class, particularly highlighting the solutions of generalized problems that result in new orthogonal sequences of continuous or discrete functions. Sturm-Liouville theory is central to problems in many areas, such as engineering, mathematics, physics, and biology. This accessibly written book on the topic is a valuable resource for a broad interdisciplinary readership, from novices to experts.
| Author | : |
| Publisher | : |
| Total Pages | : 454 |
| Release | : 1991 |
| Genre | : Orthogonal polynomials |
| ISBN | : |
| Author | : Mohammed Al-Gwaiz |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 270 |
| Release | : 2008-01-15 |
| Genre | : Mathematics |
| ISBN | : 1846289718 |
Developed from a course taught to senior undergraduates, this book provides a unified introduction to Fourier analysis and special functions based on the Sturm-Liouville theory in L2. The text’s presentation follows a clear, rigorous mathematical style that is highly readable. The author first establishes the basic results of Sturm-Liouville theory and then provides examples and applications to illustrate the theory. The final two chapters, on Fourier and Laplace transformations, demonstrate the use of the Fourier series method for representing functions to integral representations.
| Author | : Mark L. Agranovsky |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 314 |
| Release | : 2017 |
| Genre | : Mathematics |
| ISBN | : 1470429616 |
A co-publication of the AMS and Bar-Ilan University This volume contains the proceedings of the Seventh International Conference on Complex Analysis and Dynamical Systems, held from May 10–15, 2015, in Nahariya, Israel. The papers in this volume range over a wide variety of topics in the interaction between various branches of mathematical analysis. Taken together, the articles collected here provide the reader with a panorama of activity in complex analysis, geometry, harmonic analysis, and partial differential equations, drawn by a number of leading figures in the field. They testify to the continued vitality of the interplay between classical and modern analysis.
| Author | : Decio Levi |
| Publisher | : Cambridge University Press |
| Total Pages | : 361 |
| Release | : 2011-06-23 |
| Genre | : Mathematics |
| ISBN | : 1139493841 |
A comprehensive introduction to the subject suitable for graduate students and researchers. This book is also an up-to-date survey of the current state of the art and thus will serve as a valuable reference for specialists in the field.
| Author | : |
| Publisher | : UM Libraries |
| Total Pages | : 1242 |
| Release | : 1960 |
| Genre | : Education, Higher |
| ISBN | : |
