Books on Spectral Mathematics and its Application


  1. N. I. Akhiezer & I. M. Glazman: "Theory of Linear Operators in Hilbert Space". Vol. I & II. Ungar Pub. Co., New York, 1961 & 1963. QA691.A383[NIU]

  2. S. Albeverio, F. Gesztesy, R. Hoegh-Krohn & H. Holden: "Solvable Models in Quantum Mechanics". Second edition. With an appendix by Pavel Exner. AMS Chelsea Publishing, Providence, RI, 2005. QC174.12.S65[NIU:no]

  3. F. V. Atkinson: "Discrete and Continuous Boundary Value Problems". Academic Press, New York, 1964. QA372A84

  4. F. V. Atkinson: "Multiparameter Eigenvalue Problems". Academic Press, New York, 1972.

  5. M. S. Birman & M. Z. Solomjak: "Spectral Theory of Self-Adjoint Operators in Hilbert Space". D. Reidel Publ. Co., Dordrecht, Holland, 1987. QA329.2B5713

  6. R. Carmona & J. Lacroix: "Spectral Theory of Random Schrodinger Operators". Birkhauser, Basel, 1990.

  7. H. Cycon, R. Froese, W. Kirsch & B. Simon: "Schrodinger Operators". Springer-Verlag, 1987.

  8. E. B. Davies: "Spectral Theory and Differential Operators". Cambridge Studies in Advanced Math. 42. Cambridge Univ. Press, 1995. QA320.D317[NIU]

  9. M. S. P. Eastham: "The Spectral Theory of Periodic Differential Equations". Scottish Academic Press, 1973. QA372E19[NIU]

  10. M. S. P. Eastham & H. Kalf: "Schrodinger-Type Operators with Continuous Spectra". Research Notes in Math. 65. Pitman, London, 1982. QA329.E2[NIU]

  11. D. E. Edmunds & W. D. Evans: "Spectral Theory and Differential Operators". Oxford U. Press, 1987. QA320.E32[NIU]

  12. G. Freiling & V. Yorko: "Inverse Sturm-Liouville Problems and Their Applications". Nova Science, New York, 2000. QA379.F735[NIU]

  13. F. Gesztesy, P. Deift, C. Galvez, P. Perry & W. Schlag, editors: "Spectral Theory and Mathematical Physics: a Festschrift in Honor of Barry Simon's 60th Birthday", Parts 1 & 2. Proc. Symposia in Pure Math. 76. American Math. Soc., Providence, R.I., 2007. QC20.7.S646S64[NIU:no]

  14. I. Glazman: "Direct Methods of Qualitative Spectral Analysis of Singular Differential Operators". Isreal Program for Scientific Translations, Jerusalem, 1965. QA320.G5613[NIU]

  15. B.-Y. Guo: "Spectral Methods and Their Applications". World Scientific, 1998.

  16. Don Hinton & Philip W. Schaefer, editors: "Spectral Theory and Computational Methods of Sturm-Liouville Problems". Lecture Notes Pure & Appl. Math. 191. Marcel Dekker, Inc., New York, 1997. QA379.S68[NIU:no]

  17. Tao-Hsiang Hsia: "Spectral Theory of Hyponormal Operators". Birkhauser, Basel, 1983. QA329.2.H76[NIU]

  18. K. Jorgens: "Spectral Theory of Second-Order Ordinary Differential Operators: Lectures Delivered at Aarhus Universitet 1962/63". Aarhus, Denmark, 1964. QA372.J647X[NIU]

  19. K. Jorgens & J. Weidmann: "Spectral Properties of Hamiltonian Operators". Lecture Notes Math. 313. Springer-Verlag, New York, 1973. QA3.L28 no.313[NIU]

  20. A. Katchalov, Y. Kurylev & M. Lassas: "Inverse Boundary Spectral Problems". Chapman & Hall/CRC Monographs & Surveys in Pure & Appl. Math. 123. Chapman & Hall/CRC, New York, 2001. QA374.K28[NIU]

  21. Allan M. Krall: "Hilbert Space, Boundary Value Problems, and Orthogonal Polynomials". Operator Theory: Advances & Appl. 133. Birkhauser, Basel, 2002. QA322.4.K73[NIU]

  22. B. Levitan: "Inverse Sturm-Liouville Problems". VNU Science Press, Utrecht, 1987. QA371.L39513[NIU]

  23. B. Levitan & I. Sargsjan: "Introduction to Spectral Theory: Self-Adjoint Ordinary Differential Operators". AMS Translations of Math. Monographs 39. American Math. Soc., 1975. QA379.L4813[NIU]

  24. Alexander E. Lifschitz: "Magnetohydrodynamics and Spectral Theory". Kluwer Academic Publ., Boston, 1989. QC718.5.M36.L54[NIU: no]

  25. C. R. MacCluer: "Boundary Value Problems and Orthogonal Expansion". IEEE Press, 1994.

  26. V. Marchenko: "Sturm-Liouville Operators and Applications". Birkhauser, Basel, 1986. QA320.M286[NIU]

  27. R. Mennicken & M. Moller: "Non-Self-Adjoint Boundary Eigenvalue Problems". North-Holland Math. Studies 192. North-Holland Publishing Co., Amsterdam, 2003. QA379.M45[NIU]

  28. E. Muller-Pfeiffer: "Spectral Theory of Ordinary Differential Operators". Chichester, Ellis Horwood, 1981. QA329.4.M8313[NIU:no]

  29. M. A. Naimark: "Linear Differential Operators, Part II. Linear Differential Operators in Hilbert Space". Ungar Publ. Co., New York, 1968.

  30. J. Poeschel & E. Trubowitz: "Inverse Spectral Theory". Academic Press, New York, 1987. QA

  31. Michael Reed & Barry Simon: "Methods of Modern Mathematical Physics, III. Scattering Theory". Academic Press, New York, 1979. QC20.R37[NIU]

  32. Michael Reed & Barry Simon: "Methods of Modern Mathematical Physics, IV. Analysis of Operators". Academic Press, New York, 1978. QC20.R37[NIU]

  33. F. S. Rofe-Beketov & A. M. Kholkin: "Spectral Analysis of Differential Operators: Interplay between Spectral and Oscillatory Properties". World Scientific Monograph Series in Math. 7. World Scientific, Hackensack, NJ, 2005. QC20.7.S64[NIU]

  34. B. D. Sleeman: "Multiparameter Spectral Theory in Hilbert Spaces". Pitman, London, 1978.

  35. B. Simon: "Orthogonal Polynomials on the Unit Circle. Part 1: Classical Theory; Part 2: Spectral Theory". Amer. Math. Soc. Colloq. Publ. 54. American Math. Soc., Providence, RI, 2005.

  36. E. C. Titchmarsh: "Eigenfunction Expansions, I". 2nd edition. Oxford Univ. Press, 1962. QA371.T52

  37. E. C. Titchmarsh: "Eigenfunction Expansions Associated with Second Order Differential Euations, Part II". 2nd edition. Clarendon Press, Oxford, 1962. QA371.T52

  38. Christiane Tretter: "On lambda-Nonlinear Boundary Eigenvalue Problems". Akademie Verlag, Berlin, 1993. QA379.T [NIU:no]

  39. J. Weidmann: "Spectral Theory of Ordinary Differential Operators". Lecture Notes in Math. 1258. Springer-Verlag, Berlin, 1987. QA3.L28[NIU]

  40. A. Zettl: "Sturm-Liouville Theory". Math. Surveys & Monographs 121. American Math. Soc., 2005. QA379.Z48

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