Index theory for singular quadratic functionals in the calculus of variations
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- by Junior Stein PDF
- Bull. Amer. Math. Soc. 79 (1973), 1189-1192
References
- John O. Chellevold, Conjugate points of singular quadratic functionals for $N$ dependent variables, Proc. Iowa Acad. Sci. 59 (1952), 331–337. MR 0053406 2. G. H. Hardy, J. E. Littlewood and G. Pólya, Inequalities, Cambridge Univ. Press, New York, 1934.
- Magnus R. Hestenes, Applications of the theory of quadratic forms in Hilbert space to the calculus of variations, Pacific J. Math. 1 (1951), 525–581. MR 46590 4. M. R. Hestenes, Quadratic form theory and analysis, Lecture Notes, Math. Dept. Reading Room, University of California, Los Angeles, Calif., 1967.
- Marston Morse and Walter Leighton, Singular quadratic functionals, Trans. Amer. Math. Soc. 40 (1936), no. 2, 252–286. MR 1501873, DOI 10.1090/S0002-9947-1936-1501873-7 6. J. Stein, Singular quadratic functionals, Dissertation, University of California, Los Angeles, Calif., 1971.
- E. C. Tomastik, Singular quadratic functionals of $n$ dependent variables, Trans. Amer. Math. Soc. 124 (1966), 60–76. MR 196556, DOI 10.1090/S0002-9947-1966-0196556-1
Additional Information
- Journal: Bull. Amer. Math. Soc. 79 (1973), 1189-1192
- MSC (1970): Primary 49B10, 34C10; Secondary 58E99
- DOI: https://doi.org/10.1090/S0002-9904-1973-13373-7
- MathSciNet review: 0328726