PUBLICATIONS OF ROBERT CARLSON


PATENT

(with R. Rosen) Efficient Multi-target Tracking Method, U.S. Patent 5,379,044, Jan. 3, 1995

BOOKS

3. Quantum Graphs and Their Applications, Contemporary Mathematics 415, Amer. Math. Soc., 2006,
G. Berkolaiko, R. Carlson, S. Fulling, P. Kuchment, editors

2. A Concrete Introduction to Real Analysis, Chapman and Hall/CRC, 2006

1. (with E. Coddington) Linear Ordinary Differential Equations, SIAM, 1997

PREPRINTS

33. Boundary Value Problems for Infinite Metric Graphs PDF version

PUBLISHED PAPERS

32. Linear Network Models Related to Blood Flow, in Quantum Graphs and Their Applications, Contemporary Mathematics 415, Amer. Math. Soc., 65-80, 2006
31. A note on analyticity and Floquet isospectrality, Proc. Amer. Math. Soc., 134(5), 1447-1449, 2006
30. Spectral theory and spectral gaps for periodic Schrodinger operators on product graphs PDF version Waves in Random Media, 14 (1), S29-S46, (2004)
29. A spectral transform for the matrix Hill's equation, Rocky Mountain Journal of Mathematics, 34 (3), 869--895, (2004)
28. An inverse problem for the matrix Schrodinger equation, Journal of Mathematical Analysis and Applications 267, 564-575 (2002)
27. Nonclassical Sturm-Liouville Problems and Schrodinger Operators on Radial Trees. Electronic Journal of Differential Equations, vol. 2000
26. Eigenvalue Estimates and Trace Formulas for the Matrix Hill's Equation, Journal of Differential Equations, vol. 167, pp. 211-244, 2000
25. Compactness of Floquet Isospectral Sets for the Matrix Hill's Equation Proceedings of the American Math Society, vol. 128, no. 10, pp. 2933-2941, 2000
24. (with A. Kolcz, J. Alspector,M. Augusteijn, and G. Popescu) A line-oriented approach to word-spotting in handwritten documents, Pattern Analysis and Applications, (2000)3:153-168
23. Inverse Eigenvalue Problems on Directed Graphs, Transactions of the AMS, vol 351, no. 10, pp. 4069-4088, 1999
22. Large Eigenvalues and Trace Formulas for Matrix Sturm-Liouville Problems, SIAM J. Math. Anal., 1999
21. Hill's equation for a regular graph, in Mathematical and Numerical Aspects of Wave Propagation, SIAM, 1998, J. DeSanto (ed)
20. Adjoint and self-adjoint differential operators on graphs, Electronic Journal of Differential Equations, vol. 1999, No. 6, pp. 1-10
19. Hill's equation for a homogeneous tree, Electronic Journal of Differential Equations, vol. 1997, No. 23, pp. 1-30
18. (with A. Kolcz, J. Alspector,M. Augusteijn, and G. Popescu) Visual keyword based word-spotting in handwritten documents Proceedings of the SPIE International Symposium on Document Recognition, San Jose, CA, January 26-30, 1998
17. (with A. Kolcz, J. Alspector,M. Augusteijn, and G. Popescu) Keyword search in handwritten documents, Proceedings of the International Workshop on Applications of Neural Networks to Telecommunications (IWANN'97), Melbourne, Australia, pp. 171-180
16. (with J. Lee) Detecting near collisions for satellites, IEEE Trans. on Aero. and Electronic Systems, Vol 33, No. 3, July 1997, pp. 921--929
15. A Borg-Levinson Theorem for Bessel Operators, Pacific Journal of Mathematics Vol. 177, N0. 1, 1997, pp. 1--26
14. (with C. Shubin and R. Threadgill) Sturm-Liouville Eigenvalue Problems with Finitely Many Singularities, Journal of Mathematical Analysis and Applications, 204 (1996), pp. 74--101
13. Hearing Point Masses in a String, SIAM Journal of Mathematical Analysis, May 1995
12. Spectral Rigidity for Radial Schr\"odinger Operators, J. Differential Equations, Vol. 113, 1994, 338-354.
11. An Inverse Spectral Problem for Sturm-Liouville Operators with Discontinuous Coefficients, Proc. Amer. Math. Soc., Vol. 120, 1994, 851-864.
10. Recognition of Flexible Objects, Proceedings of the IEEE Southwest Symposium on Image Analysis and Interpretation, 1994, 36-41
9. Inverse Sturm-Liouville Problems with a Singularity at Zero, Inverse Problems, Vol. 10, 1994, 851-864
8. Inverse Spectral Theory for Some Singular Sturm-Liouville Problems, J. Differential Equations, Vol. 106, 1993, 121-140.
7. Construction of Isospectral Deformations of Differential Operators with Periodic Coefficients, J. Functional Analysis, Vol. 46, 1982, 265-279
6. (with K.R. Goodearl) Commutants of Ordinary Differential Operators, J. Differential Equations, Vol. 35, No. 3, 1980, 339-365.
5. Local Completeness for Eigenfunctions of Regular Maximal Ordinary Differential Operators, Proc. Amer. Math. Soc., Vol. 79, 1980, 400-404.
4. (with R. Varley) Grassmannian Subvarieties Arising in the Spectral Theory of Ordinary Differential Operators, Journal f\"ur die reine und angewandte Mathematik, vol. 320, 1980, 32-43
3. Expansions Associated with Non-Self-Adjoint Boundary-Value Problems, Proc. Amer. Math. Soc., Vol. 73, 1979, 173-179.
2. Genericity of Simple Eigenvalues, J. Functional Analysis, Vol. 34, No. 3, 1979, 472-480
1. Eigenfunction Expansions for Self-Adjoint Integro-Differential Operators, Pacific J. Math., Vol 81, No. 2, 1979, 327-347.
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