Linearization of certain nonlinear functional equations

Authors:
R. H. Cameron, B. W. Lindgren and W. T. Martin

Journal:
Proc. Amer. Math. Soc. **3** (1952), 138-143

MSC:
Primary 46.3X

DOI:
https://doi.org/10.1090/S0002-9939-1952-0047917-8

MathSciNet review:
0047917

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References | Similar Articles | Additional Information

**[1]**R. H. Cameron and W. T. Martin,*The transformation of Wiener integrals by non-linear transformations*, Trans. Amer. Math. Soc. vol. 66 (1949) pp. 253-283. MR**0031196 (11:116b)****[2]**-,*The orthogonal development of non-linear functionals in series of Fourier-Hermite functionals*, Ann. of Math. vol. 48 (1947) pp. 385-392. MR**0020230 (8:523a)****[3]**-,*Non-linear integral equations*, Ann. of Math. vol. 51 (1950) pp. 629-642. MR**0035393 (11:728d)****[4]**S. Kaczmarz and H. Steinhaus,*Theorie der Orthogonalreihen*, Warsaw-Lwow, 1935.**[5]**R. E. A. C. Paley, N. Wiener, and A, Zygmund,*Notes on random functions*, Math. Zeit. vol. 37 (1933) pp. 647-668. MR**1545426**

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DOI:
https://doi.org/10.1090/S0002-9939-1952-0047917-8

Article copyright:
© Copyright 1952
American Mathematical Society