Abstract
A function g(y) of a variable y (which may be complex) is called the integral transform of a function f(x) with respect to a kernel K(x, y) when
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Literature
Bochner, S.: Lectures on Fourier integrals. Princeton 1959.
Doetsch, G.: Handbuch der Theorie der Laplace-Transformation. Basel: Birkhauser 1950–1956.
Hirschmann, I. I., and D. V. Widder: The convolution transform. Princeton 1955.
Sneddon, I. N.: Fourier Transforms. New York: MacGraw-Hill 1951.
Titchmarsh, E. C.: Introduction to the theory of Fourier integrals. Oxford 1948.
Literature concerning tables
Erdélyi, A.: Tables of integral transforms. 2 vols. New York: McGraw-Hill 1954.
Oberhettinger, F.: Tabellen zur Fourier-Transformation. Berlin/Göttingen/Heidelberg: Springer 1957.
Oberhettinger, F.: Tables of Laplace and Mellin transforms. Berlin/Heidelberg/New York: Springer (To be published).
Oberhettinger, F., and T. P. Higgins: Tables of Lebedev, Mehler, and generalized Mehler transforms. Report Boeing Scientific Research Laboratories, Seattle, 1961.
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© 1966 Springer-Verlag Berlin Heidelberg
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Magnus, W., Oberhettinger, F., Soni, R.P. (1966). Integral transforms. In: Formulas and Theorems for the Special Functions of Mathematical Physics. Die Grundlehren der mathematischen Wissenschaften, vol 52. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-11761-3_11
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DOI: https://doi.org/10.1007/978-3-662-11761-3_11
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