The solution of some integral equations of Wiener-Hopf type
Author:
Marvin Shinbrot
Journal:
Quart. Appl. Math. 28 (1970), 15-36
MSC:
Primary 45.15
DOI:
https://doi.org/10.1090/qam/270084
MathSciNet review:
270084
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Additional Information
- Earl A. Coddington and Norman Levinson, Theory of ordinary differential equations, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1955. MR 0069338
A. Erdélyi et al., Higher transcendental functions. Vol. II, McGraw-Hill, New York, 1953
- Arthur Erdélyi, Wilhelm Magnus, Fritz Oberhettinger, and Francesco G. Tricomi, Higher transcendental functions. Vol. III, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1955. Based, in part, on notes left by Harry Bateman. MR 0066496
A. Erdélyi et al., Table of integral transforms. Vol. I, McGraw-Hill, New York, 1954
- Albert E. Heins, Systems of Wiener-Hopf integral equations and their application to some boundary value problems in electromagnetic theory, Proc. Symposia Appl. Math. 2 (1950), 76–81. MR 32917
- G. E. Latta, The solution of a class of integral equations, J. Rational Mech. Anal. 5 (1956), 821–834. MR 95393, DOI https://doi.org/10.1512/iumj.1956.5.55031
- R. C. MacCamy, On singular integral equations with logarithmic or Cauchy kernels, J. Math. Mech. 7 (1958), 355–375. MR 0097696
- B. Noble, Methods based on the Wiener-Hopf technique for the solution of partial differential equations, International Series of Monographs on Pure and Applied Mathematics, Vol. 7, Pergamon Press, New York-London-Paris-Los Angeles, 1958. MR 0102719
Frigyes Riesz and Béla Sz.-Nagy, Functional analysis, Ungar, New York, 1955
- Marvin Shinbrot, A generalization of Latta’s method for the solution of integral equations, Quart. Appl. Math. 16 (1958), 415–421. MR 103398, DOI https://doi.org/10.1090/S0033-569X-1959-0103398-X
- Marvin Shinbrot, DIFFERENCE KERNELS, ProQuest LLC, Ann Arbor, MI, 1961. Thesis (Ph.D.)–Stanford University. MR 2613252
- Marvin Shinbrot, On singular integral operations, J. Math. Mech. 13 (1964), 395–406. MR 0162103
- Marvin Shinbrot, On the range of general Wiener-Hopf operators, J. Math. Mech. 18 (1968/1969), 587–601. MR 0250135
E. C. Titchmarsh, Introduction to the theory of Fourier integrals, Oxford Univ. Press, New York, 1948
N. Wiener and E. Hopf, Über eine Klasse singulärer Integral-gleichungen, S. B. Preuss. Akad. Wiss. 696–705 (1931)
N. Wiener, Extrapolation, interpolation, and smoothing of stationary time series, Wiley, New York, 1949
Earl A. Coddington and Norman Levinson, Theory of ordinary differential equations, McGraw-Hill, New York, 1955
A. Erdélyi et al., Higher transcendental functions. Vol. II, McGraw-Hill, New York, 1953
A. Erdélyi et al., Higher transcendental functions. Vol. III, McGraw-Hill, New York, 1955
A. Erdélyi et al., Table of integral transforms. Vol. I, McGraw-Hill, New York, 1954
Albert E. Heins, Systems of Wiener-Hopf integral equations and their application to some boundary value problems in electromagnetic theory, Proc. Sympos. Appl. Math., vol. 2, Amer. Math. Soc., Providence, R. I., 1950
G. E. Latta, The solution of a class of integral equations, J. Rational Mech. Anal. 5, 821–833 (1956)
R. C. MacCamy, On singular integral equations with logarithmic or Cauchy kernels, J. Math. Mech. 7 355–375 (1958).
B. Noble, The Wiener-Hopf technique, Pergamon Press, New York, 1958
Frigyes Riesz and Béla Sz.-Nagy, Functional analysis, Ungar, New York, 1955
Marvin Shinbrot, A generalization of Latta’s method for the solutions of integral equations, Quart. Appl. Math. 16, 415–421 (1959)
Marvin Shinbrot, Difference kernels, Ph.D. thesis, Stanford University, Stanford, Calif., 1960
Marvin Shinbrot, On singular integral operators, J. Math. Mech. 13, 395–406 (1964)
Marvin Shinbrot, On the range of general Wiener-Hopf operators, J. Math. Mech. 18, 587–602 (1969)
E. C. Titchmarsh, Introduction to the theory of Fourier integrals, Oxford Univ. Press, New York, 1948
N. Wiener and E. Hopf, Über eine Klasse singulärer Integral-gleichungen, S. B. Preuss. Akad. Wiss. 696–705 (1931)
N. Wiener, Extrapolation, interpolation, and smoothing of stationary time series, Wiley, New York, 1949
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Article copyright:
© Copyright 1970
American Mathematical Society
