• [1] George Boole, Calculus of finite differences, Edited by J. F. Moulton 4th ed, Chelsea Publishing Co. New York, 1957. MR 0115025
• [2] A. Erdélyi, W. Magnus, F. Oberhettinger, and F. G. Tricomi, Higher transcendental functions, Vol. 2, McGraw-Hill, New York, 1953.
• [3] Leopold Fejér, Über die Summabilität der Laplaceschen Reihe durch arithmetische Mittel, Math. Z. 24 (1926), no. 1, 267–284 (German). MR 1544764, https://doi.org/10.1007/BF01216783
• [4] T. H. Gronwall, Über die Laplacesche Reihe, Math. Ann. 74 (1913), no. 2, 213–270 (German). MR 1511760, https://doi.org/10.1007/BF01456041
• [5] G. H. Hardy, Divergent Series, Oxford, at the Clarendon Press, 1949. MR 0030620
• [6] E. W. Hobson, The theory of spherical and ellipsoidal harmonics, Cambridge Univ. Press, London, 1931.
• [7] Walter Rudin, Uniqueness theory for Laplace series, Trans. Amer. Math. Soc. 68 (1950), 287–303. MR 33368, https://doi.org/10.1090/S0002-9947-1950-0033368-1
• [8] Victor L. Shapiro, Localization on spheres, Trans. Amer. Math. Soc. 86 (1957), 212–219. MR 90676, https://doi.org/10.1090/S0002-9947-1957-0090676-2
• [9] Victor L. Shapiro, The symmetric derivative on the (𝑘-1)-dimensional hypersphere, Trans. Amer. Math. Soc. 81 (1956), 514–524. MR 76906, https://doi.org/10.1090/S0002-9947-1956-0076906-0
• [10] Wolfgang J. Sternberg and Turner L. Smith, The Theory of Potential and Spherical Harmonics, Mathematical Expositions, no. 3, University of Toronto Press, Toronto, Ont., 1944. MR 0011513
• [11] A. Zygmund, Trigonometrical series, Warsaw, 1935.

Bibliography

[1]

G. Boole, Calculus of finite differences, Chelsea, New York, 1860. MR 0115025 (22:5830a)

[2]

A. Erdélyi, W. Magnus, F. Oberhettinger, and F. G. Tricomi, Higher transcendental functions, Vol. 2, McGraw-Hill, New York, 1953.

[3]

L. Fejer, Über die Summabilitat der Laplaceschen Reihe durch arithmetische Mittel, Math. Z. 24 (1926), 267-284. MR 1544764

[4]

T. H. Gronwall, Über die Laplaceshe Reihe, Math. Ann. 74 (1913), 213-270. MR 1511760

[5]

G. H. Hardy, Divergent series, Clarendon Press, Oxford, 1949. MR 0030620 (11:25a)

[6]

E. W. Hobson, The theory of spherical and ellipsoidal harmonics, Cambridge Univ. Press, London, 1931.

[7]

W. Rudin, Uniqueness theory for Laplace series, Trans. Amer. Math. Soc. 68 (1950), 287-303. MR 0033368 (11:430a)

[8]

V. L. Shapiro, Localization on spheres, Trans. Amer. Math. Soc. 86 (1957), 212-219. MR 0090676 (19:850b)

[9]

-, The symmetric derivative on the dimensional hypersphere, Trans. Amer. Math. Soc. 81 (1956), 514-524. MR 0076906 (17:962e)

[10]

W. J. Sternberg and T. L. Smith, The theory of the potential and spherical harmonics, Univ. of Toronto Press, Toronto, 1946. MR 0011513 (6:175d)

[11]

A. Zygmund, Trigonometrical series, Warsaw, 1935.