The inversion of convolution transforms by differential operators

Author:
Charles Fox

Journal:
Proc. Amer. Math. Soc. **4** (1953), 880-887

MSC:
Primary 42.4X

DOI:
https://doi.org/10.1090/S0002-9939-1953-0058744-0

MathSciNet review:
0058744

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References | Similar Articles | Additional Information

**[1]**I. I. Hirschman Jr. and D. V. Widder,*Generalized inversion formulas for convolution transforms. II*, Duke Math. J.**17**(1950), 391–402. MR**0039108****[2]**I. I. Hirschman Jr. and D. V. Widder,*Generalized inversion formulas for convolution transforms*, Duke Math. J.**15**(1948), 659–696. MR**0027889****[3]**I. I. Hirschman Jr. and D. V. Widder,*The inversion of a general class of convolution transforms*, Trans. Amer. Math. Soc.**66**(1949), 135–201. MR**0032817**, https://doi.org/10.1090/S0002-9947-1949-0032817-4**[4]**E. C. Titchmarsh,*The theory of the Fourier integral*, Oxford University Press.**[5]**G. N. Watson,*The theory of Bessel functions*, Cambridge University Press.**[6]**E. T. Whittaker and G. N. Watson,*Modern analysis*, Cambridge University Press.

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DOI:
https://doi.org/10.1090/S0002-9939-1953-0058744-0

Article copyright:
© Copyright 1953
American Mathematical Society