On weighted averages at a jump discontinuity
Author:
Craig Comstock
Journal:
Quart. Appl. Math. 28 (1970), 159-166
MSC:
Primary 41.50; Secondary 42.00
DOI:
https://doi.org/10.1090/qam/265834
MathSciNet review:
265834
Full-text PDF Free Access
References |
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Additional Information
- M. E. Muldoon, Singular integrals whose kernels involve certain Sturm-Liouville functions. I, J. Math. Mech. 19 (1969/1970), 855–873. MR 0259455
- L. Lorch and P. Szego, A singular integral whose kernel involves a Bessel function. II, Acta Math. Acad. Sci. Hungar. 13 (1962), 203–217. MR 147681, DOI https://doi.org/10.1007/BF02033639
- G. N. Watson, A Treatise on the Theory of Bessel Functions, Cambridge University Press, Cambridge, England; The Macmillan Company, New York, 1944. MR 0010746
- Wilhelm Magnus, Fritz Oberhettinger, and Raj Pal Soni, Formulas and theorems for the special functions of mathematical physics, Third enlarged edition, Die Grundlehren der mathematischen Wissenschaften, Band 52, Springer-Verlag New York, Inc., New York, 1966. MR 0232968
H. Lebesgue, Sur les intégrales singulières, Ann. Fac. Sci. Toulouse (3) 1, 25–117 (1909)
I. P. Natanson, Theory of functions of a real variable, II, Ungar, New York, 1960
- E. C. Titchmarsh, Han-shu lun, Science Press, Peking, 1964 (Chinese). Translated from the English by Wu Chin. MR 0197687
M. E. Muldoon, Singular integrals whose kernels involve certain Sturm-Liouville functions, Ph.D. thesis, U. of Alberta, 1966. (to appear in J. Math. Mech., 19 (1969–70))
L. Lorch and P. Szego, A singular integral whose kernel involves a Bessel function, II, Acta Math. Acad. Sci. Hungar. 13, 203–217 (1962)
G. N. Watson, A treatise on the theory of Bessel functions, 2nd Ed., Cambridge Univ. Press, New York, 1944
W. Magnus, F. Oberhettinger and R. P. Soni, Formulas and theorems for the special functions of mathematical physics, Springer-Verlag, New York., 1966
H. Lebesgue, Sur les intégrales singulières, Ann. Fac. Sci. Toulouse (3) 1, 25–117 (1909)
I. P. Natanson, Theory of functions of a real variable, II, Ungar, New York, 1960
E. C. Titchmarsh, Theory of functions, 2nd ed., Oxford Univ. Press, New York, 1950
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Article copyright:
© Copyright 1970
American Mathematical Society
