On a problem of Mihlin
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- by A. P. Calderón and A. Zygmund PDF
- Trans. Amer. Math. Soc. 78 (1955), 209-224 Request permission
Addendum: Trans. Amer. Math. Soc. 84 (1957), 559-560.
References
- S. Bochner, Theta relations with spherical harmonics, Proc. Nat. Acad. Sci. U.S.A. 37 (1951), 804–808. MR 48633, DOI 10.1073/pnas.37.12.804
- A. P. Calderon and A. Zygmund, On the existence of certain singular integrals, Acta Math. 88 (1952), 85–139. MR 52553, DOI 10.1007/BF02392130 G. Giraud, Sur une classe générale d’équations à intégrales principales, C. R. Acad. Sci. Paris vol. 202 (1936) pp. 2124-2125. E. Heine, Handbuch der Kugelfunktionen, vols. I and II, 2d ed., Berlin, 1878, 1888.
- S. G. Mihlin, Singular integral equations, Uspehi Matem. Nauk (N.S.) 3 (1948), no. 3(25), 29–112 (Russian). MR 0027429
- S. G. Mihlin, Concerning a theorem on boundedness of a singular integral operator, Uspehi Matem. Nauk (N.S.) 8 (1953), no. 1(53), 213–217 (Russian). MR 0053369 G. Szegö, Orthogonal polynomials, Amer. Math. Soc. Colloquium Publications, vol. 23, 1939. E. C. Titchmarsh, Introduction to the theory of Fourier’s integral, Oxford University Press, 1948.
- G. N. Watson, A treatise on the theory of Bessel functions, Cambridge Mathematical Library, Cambridge University Press, Cambridge, 1995. Reprint of the second (1944) edition. MR 1349110 A. Zygmund, Trigonometrical series, Warsaw, 1935.
Additional Information
- © Copyright 1955 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 78 (1955), 209-224
- MSC: Primary 42.4X
- DOI: https://doi.org/10.1090/S0002-9947-1955-0068028-9
- MathSciNet review: 0068028