论文信息 - The Titchmarsh-Weyl Eigenfunction Expansion Theorem for Sturm-Liouville Differential Equations - 字舞流文

The Titchmarsh-Weyl Eigenfunction Expansion Theorem for Sturm-Liouville Differential Equations

This paper involves a revisit to the original works of Hermann Weyl in 1910 and of Edward Charles Titchmarsh in 1941, concerning Sturm-Liouville theory and the corresponding eigenfunction expansions.

Christer Bennewitz | W. Norrie Everitt

[1] E. Coddington,et al. Theory of Ordinary Differential Equations , 1955 .

[2] Tosio Kato. Perturbation theory for linear operators , 1966 .

[3] On the representation of holomorphic functions by integrals , 1997 .

[4] W. Everitt. Charles Sturm and the Development of Sturm-Liouville Theory in the Years 1900 to 1950 , 2005 .

[5] I. M. Glazman,et al. Theory of linear operators in Hilbert space , 1961 .

[6] H. Weyl,et al. Über gewöhnliche Differentialgleichungen mit Singularitäten und die zugehörigen Entwicklungen willkürlicher Funktionen , 1910 .

[7] F. V. Atkinson,et al. Discrete and Continuous Boundary Problems , 1964 .

[8] Don Hinton. Spectral Theory & Computational Methods of Sturm-Liouville Problems , 1997 .

[9] Levitan,et al. Sturm―Liouville and Dirac Operators , 1990 .

[10] L. Markus,et al. The Glazman-Krein-Naimark theorem for ordinary differential operators , 1997 .

[11] P. Goldbart,et al. Linear differential operators , 1967 .

[12] N. Akhiezer,et al. The Classical Moment Problem. , 1968 .

[13] W. N. Everitt. On the transformation theory of ordinary second-order linear symmetric differential expressions , 1982 .

[14] E. C. Titchmarsh,et al. The theory of functions , 1933 .