Harmonic analysis of a source identification problem

Arnold, E. M.

doi:10.1090/qam/678204

Author: E. M. Arnold
Journal: Quart. Appl. Math. 40 (1982), 331-338
MSC: Primary 35R30; Secondary 76S05
DOI: https://doi.org/10.1090/qam/678204
MathSciNet review: 678204
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J. R. Cannon and P. DuChateau, An inverse problem for an unknown source in a heat equation, J. Math. Anal. Appl. 75 (1980), no. 2, 465–485. MR 581834, DOI https://doi.org/10.1016/0022-247X%2880%2990095-5

A. N. Tikhonov, Solutions to ill-posed problems, Winston-Wiley, New York, 1978

Elias M. Stein and Guido Weiss, Introduction to Fourier analysis on Euclidean spaces, Princeton University Press, Princeton, N.J., 1971. Princeton Mathematical Series, No. 32. MR 0304972

A. Erdelyi, ed., Higher transcendental functions, Vol. II, McGraw-Hill, 1953

B. T. Quinto, personal communication.

Elias M. Stein, Singular integrals and differentiability properties of functions, Princeton Mathematical Series, No. 30, Princeton University Press, Princeton, N.J., 1970. MR 0290095
Elias M. Stein and Stephen Wainger, Problems in harmonic analysis related to curvature, Bull. Amer. Math. Soc. 84 (1978), no. 6, 1239–1295. MR 508453, DOI https://doi.org/10.1090/S0002-9904-1978-14554-6