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Seeley, R. T.

The index of elliptic systems of singular integral operators. (English) Zbl 0133.37603

J. Math. Anal. Appl. 7, 289-309 (1963); errata ibid. 14, 552 (1966).
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Cited in 18 Documents

Keywords:

functional analysis
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References:

[1] Calderón, A. P.; Zygmund, A., Singular integral operators and differential equations, Am. J. Math., 79, 901-921 (1957) · Zbl 0081.33502
[2] Seeley, R. T., Singular integrals on compact manifolds, Am. J. Math., 81, 658-690 (1959) · Zbl 0109.33001
[3] Seeley, R. T., Regularization of singular integral operators on compact manifolds, Am. J. Math., 83, 265-275 (1961) · Zbl 0192.23503
[4] Seeley, R. T., On boundary value problems for Laplace’s equation, Am. J. Math., 83, 698-708 (1961) · Zbl 0107.31002
[5] Volpert, A. I., On the index of systems of two-dimensional singular integral equations, Dokl. Akad. Nauk. SSSR, 142, 776-777 (1962) · Zbl 0118.31502
[6] Atiyah, M. F.; Singer, I. M., The index of elliptic operators on compact manifolds, Bull. Am. Math. Soc., 69, 422-433 (1963) · Zbl 0118.31203
[7] Gohberg, I. C., On the theory of multidimensional singular integral equations, Dokl. Akad. Nauk SSSR, 133, 1279-1282 (1960) · Zbl 0203.08502
[8] Gohberg, I. C., On linear equations in normed spaces, Dokl. Akad. Nauk SSSR, 76, 477-480 (1951) · Zbl 0042.11903
[9] Atkinson, F. V., Normal solvability of linear equations in normed spaces, Mat Sb., 28, 70, 3-14 (1951) · Zbl 0042.12001
[10] Mihlin, S. G., On the theory of multidimensional singular integral equations, Vestnik Leningrad Univ., 11, no. 1, 3-24 (1956) · Zbl 0075.11402
[11] Gohberg, I. C.; Krein, M. G., Fundamental aspects of defect numbers, root numbers and indices of linear operators, Usp. Mat. Nauk, 12, no. 2, 43-118 (1957) · Zbl 0088.32101
[12] Mihlin, S. G., Sur la réduction des équations intégrales singulières à des équations équivalentes de Fredholm, Dokl. Akad. Nauk SSSR, 20, 93-96 (1938) · Zbl 0019.41301
[13] Mihlin, S. G., On the multipliers of Fourier integrals, Dokl. Akad. Nauk SSSR, 109, 701-703 (1956) · Zbl 0073.08402
[14] Dunford, N.; Schwartz, J. T., Linear Operators (1958), Interscience: Interscience New York, Part I · Zbl 0084.10402
[15] Mihlin, S. G., Transl. Am. Math. Soc., no. 24 (1950)
[16] Gohberg, I. C., On an application of the theory of normed rings to singular integral equations, Usp. Mat. Nauk, 7, no. 2, 149-156 (1952) · Zbl 0046.12101
[17] Zygmund, A., Transfer in slabs of finite thickness (1963), Chelsea: Chelsea New York
[18] Calderón, A. P.Proc. Symp. Pure Math.; Calderón, A. P.Proc. Symp. Pure Math.
[19] Gohberg, I. C., On the number of solutions of a homogeneous singular integral equation with continuous coefficients, Dokl. Akad. Nauk SSSR, 122, 327-330 (1958) · Zbl 0105.08401
[20] Weyl, H., The Classical Groups (1946), Princeton Univ. Press · JFM 65.0058.02
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