Basic sets of polynomials for generalized Beltrami and EulerPoissonDarboux equations and their iterates
Authors:
E. P. Miles and Eutiquio C. Young
Journal:
Proc. Amer. Math. Soc. 18 (1967), 981986
MSC:
Primary 35.79
MathSciNet review:
0218771
Fulltext PDF Free Access
References 
Similar Articles 
Additional Information
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 [1]
 M. H. Protter, Generalized spherical harmonics, Trans. Amer. Math. Soc. 63 (1948), 314341. MR 0024533 (9:509c)
 [2]
 , On a class of harmonic polynomials, Portugal. Math. 10 (1951), 1122. MR 0041993 (13:35f)
 [3]
 E. P. Miles, Jr. and Ernest Williams, A basic set of homogeneous harmonic polynomials in variables, Proc. Amer. Math. Soc. 6 (1955) 191194. MR 0072239 (17:252d)
 [4]
 J. Horváth, Singular integral operators and spherical harmonics, Trans. Amer. Math. Soc. 82 (1956), 5263. MR 0086937 (19:270f)
 [5]
 , Basic sets of polynomial solutions for partial differential equations, Proc. Amer. Math. Soc. 9 (1958), 569575. MR 0103330 (21:2104)
 [6]
 E. P. Miles, Jr. and Ernest Williams, A basic set of polynomial solutions for the EulerPoissonDarboux and Beltrami equations, Amer. Math. Monthly 63 (1956), 401404. MR 0081407 (18:397c)
 [7]
 , Basic sets of polynomials for the iterated Laplace and wave equations, Duke Math. J. 26 (1959), 3540. MR 0104840 (21:3591)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00029939196702187717
PII:
S 00029939(1967)02187717
Article copyright:
© Copyright 1967
American Mathematical Society
