Cite

[1] I. A. Aliev and B. Rubin, Parabolic potentials and wavelet transform with the generalized translation, Studia Math. 145 (2001) Nr1, p. 1-16.Search in Google Scholar

[2] H. Ben Mohamed, N. Bettaibi and S. H. Jah, Sobolev type spaces associated with the Weinstein operator, Int. Journal of Math. Analysis, Vol. 5, Nr. 28, (2011), p. 1353-1373.Search in Google Scholar

[3] H. Ben Mohamed, B. Ghribi, Weinstein-Sobolev spaces of exponential type and applications. To appear in Acta Mathematica Sinica, English Series (2012)p. 1-18.Search in Google Scholar

[4] Z. Ben Nahia, Fonctions harmoniques et proprietés de la moyenne as- sociées á l'opérateur de Weinstein, Thése 3éme cycle Maths. (1995) Department of Mathematics Faculty of Sciences of Tunis. Tunisia.Search in Google Scholar

[5] Z. Ben Nahia and N. Ben Salem, Spherical harmonics and applications associated with the Weinstein operator, \ Proceedings " de la Conférence Internationale de Théorie de Potentiel, I. C. P. T. 94, tenue á Kouty ( en République Tchéque ) du 13-20 Août 1994.Search in Google Scholar

[6] Z. Ben Nahia and N. Ben Salem, On a mean value property associated with the Weinstein operator, "Proceedings" de la Conférence Internationale de Théorie de Potentiel, I. C. P. T. 94, tenue á Kouty ( en République Tchéque ) du 13-20 Ao^ut 1994.Search in Google Scholar

[7] M. Brelot, Equation de Weinstein et potentiels de Marcel Riesz, Lecture Notes in Mathematics 681, Séminaire de Théorie de Potentiel Paris, No 3, 1978, 18-38.10.1007/BFb0065866Search in Google Scholar

[8] C. Chettaoui and K. Trimeche, Bochner-Hecke theorems for the Weinstein transform and application, fract. cal. Appl. Anal. 13(3) (2010) 261-280.Search in Google Scholar

[9] I. A. Kipriyanov, Singular Elliptic Boundary Value Problems, Nauka, Fizmatlit, 1997 (in Russian).Search in Google Scholar

[10] T. H. Koornwinder, The continuous wavelet transform, in wavelets. An elementury treatment of theory and applications, T. H. Koornwinder, ed., World Scientific, (1993).10.1142/2017Search in Google Scholar

[11] J. Löfström and J. Peetre, Approximation theorems connected with gen- eralized translations Math. Ann. Nr 181 (1969), p. 255-268.Search in Google Scholar

[12] H. Mejjaoli, Heat Equations Associated with Weinstein Operator and Ap- plications, Journal of Function Spaces and Applications, Volume 2013, Article ID 723976, 13 pages.10.1155/2013/723976Search in Google Scholar

[13] H. Mejjaoli and A. O. A. Salem, Weinstein Gabor Transform and Applications, Adv. in Pure Math. 2 (2012) 203-210.10.4236/apm.2012.23029Search in Google Scholar

[14] K. Stempak, La théorie de Littlewood-Paley pour la transformation de Fourier-Bessel, C. R. Acad. Sci. Paris Sér. I303 (1986), p. 15-18.Search in Google Scholar

[15] K. Triméche, Generalized Wavelet and Hypergroups, Gordon and Breach, New York, 1997.Search in Google Scholar

[16] K. Triméche, Generalized harmonic analysis and wavelet packets, Gordon and Breach Science Publishers, 2001.10.1201/9781482283174Search in Google Scholar

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Mathematics, General Mathematics