References
Lauwerier, H. A., The Hilbert Problem for Generalized Functions. Archive for Rational Mechanics and Analysis 13, 157–166 (1963).
Titchmarsh, E. C., Introduction to the Theory of Fourier Integrals, 2nd Ed. London: Oxford Press 1948. Especially, Ch. 5.
Bremermann, H. J., & L. Durand, III, On Analytic Continuation, Multiplication, and Fourier Transformations of Schwartz Distributions. J. of Mathematical Physics 2, 240–258 (1961).
Schwartz, L., Théorie des Distributions, Tome I, II. Paris: Hermann 1957, 1959.
Gel'fand, I. M., & G. E. Shilov, Generalized Functions, Vol. I. New York: Academic Press 1964.
Newcomb, R. W., Hilbert Transforms—Distributional Theory. Stanford Electronics Laboratories, Technical Report No. 2250-1 (February 1962).
Author information
Authors and Affiliations
Additional information
Communicated by H. A. Lauwerier
Rights and permissions
About this article
Cite this article
Beltrami, E.J., Wohlers, M.R. Distributional boundary value theorems and Hilbert trasforms. Arch. Rational Mech. Anal. 18, 304–309 (1965). https://doi.org/10.1007/BF00251669
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00251669