@article{AMBP_2001__8_1_1_0, author = {Akkouchi, Mohamed}, title = {A note on {d'Alembert's} functional equation}, journal = {Annales math\'ematiques Blaise Pascal}, pages = {1--6}, publisher = {Laboratoires de Math\'ematiques Pures et Appliqu\'ees de l'Universit\'e Blaise Pascal}, volume = {8}, number = {1}, year = {2001}, mrnumber = {1863643}, zbl = {0991.39010}, language = {en}, url = {http://www.numdam.org/item/AMBP_2001__8_1_1_0/} }
TY - JOUR AU - Akkouchi, Mohamed TI - A note on d'Alembert's functional equation JO - Annales mathématiques Blaise Pascal PY - 2001 SP - 1 EP - 6 VL - 8 IS - 1 PB - Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal UR - http://www.numdam.org/item/AMBP_2001__8_1_1_0/ LA - en ID - AMBP_2001__8_1_1_0 ER -
%0 Journal Article %A Akkouchi, Mohamed %T A note on d'Alembert's functional equation %J Annales mathématiques Blaise Pascal %D 2001 %P 1-6 %V 8 %N 1 %I Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal %U http://www.numdam.org/item/AMBP_2001__8_1_1_0/ %G en %F AMBP_2001__8_1_1_0
Akkouchi, Mohamed. A note on d'Alembert's functional equation. Annales mathématiques Blaise Pascal, Volume 8 (2001) no. 1, pp. 1-6. http://www.numdam.org/item/AMBP_2001__8_1_1_0/
[1] Vorlesungen über Funktionalgleichungen une ihre Anwendungen, Birkhäuser, basel, 1961. | MR | Zbl
,[2] Functional Equations in Severables Variables, Encyclopedia of Mathematics and its applications. Cambridge University Press, 1989. | MR | Zbl
AND ,[3] D'Alembert's functional equation on compact Gel'fand pairs, Maghreb Math. Rev. (To appear). | MR
, AND ,[4] Mémoire sur les principes de la mécanique, Hist. Acad. Sci., Paris, 1769, pp. 278 - 286.
,[5] Almost Periodic Functions, Chelsea, New York, 1951. | MR
,[6] Almost Periodic Functions, Interscience Publishers, New York, London, Toronto, 1968. | MR | Zbl
,[7] The cosine functional equation for nilpotent groups, Aequationes Mathematicae, 15, (1977) 99 - 106. | MR | Zbl
,[8] On functional equations associated with characters of unitary reprsentations of groups, Aequationes Mathematicae, 44, (1992) 109 - 121. | MR | Zbl
,[9] Abstract harmonic analysis, VOL. I (VOL. 2) Springer-Verlag, Berlin, 1979. (1970). | MR
AND ,[10] On the functional equation f(x + y) + f(x - y) = 2f(x)f(y), Amer. Math. Monthly, 72 (1965) 374 - 377. | MR | Zbl
,[11] On the functional equation f(xy) + f(xy-1) = 2f(x)f(y) for groups, Proc. Amer. Math. Soc, 19 (1968) 69 - 74. | MR | Zbl
,[12] An Introduction to Harmonic Analysis, Dover Publications, Inc. New York, 1976 (Second edition). | MR | Zbl
,[13] On D'Alembert's functional equation on an Abelian group, Aequationes Mathematicae, 22, (1981) 54 - 55. | MR | Zbl
,[14] A solution of D'Alembert's functional equation on a locally compact group, Aequationes Mathematicae, 15, (1977) 235 - 238. | Zbl
,[15] The D'Alembert functional equation on groups, Amer. Math. Monthly, 92, (1985) 273 - 275. | MR | Zbl
,[16] D'Alembert's functional equation on groups, Proc. Amer. Math. Soc., 77, (1979) 73 - 80. | MR | Zbl
AND ,[17] Almost periodicity and functional equations, Aequationes Mathematicae, 26, (1983) 163 - 175. | MR | Zbl
,[18] D'Alembert's equation and spherical functions, Aequationes Mathematicae, 48, (1994) 220 - 227. | MR | Zbl
,[19] Functional equations on abelian groups with involution, Aequationes Mathematicae, 54, (1997) 144 - 172. | MR | Zbl
,