ONE-PARAMETER GROUPS OF BOEHMIANS

Title & Authors
ONE-PARAMETER GROUPS OF BOEHMIANS
Nemzer, Dennis;

Abstract
The space of periodic Boehmians with $\small{\Delta}$-convergence is a complete topological algebra which is not locally convex. A family of Boehmians $\small{\{T_\lambda\}}$ such that $\small{T_0}$ is the identity and $T_{\lambda_1+\lambda_2} Keywords infinitesimal generator;one-parameter group;periodic Boehmian; Language English Cited by 1. REAL COVERING OF THE GENERALIZED HANKEL-CLIFFORD TRANSFORM OF FOX KERNEL TYPE OF A CLASS OF BOEHMIANS,;;; 대한수학회보, 2015. vol.52. 5, pp.1607-1619 1. On the Generalized Krätzel Transform and Its Extension to Bohemian Spaces, Abstract and Applied Analysis, 2013, 2013, 1 2. On a Widder potential transform and its extension to a space of locally integrable Boehmians, Journal of the Association of Arab Universities for Basic and Applied Sciences, 2015, 18, 94 3. REAL COVERING OF THE GENERALIZED HANKEL-CLIFFORD TRANSFORM OF FOX KERNEL TYPE OF A CLASS OF BOEHMIANS, Bulletin of the Korean Mathematical Society, 2015, 52, 5, 1607 4. An extension of certain integral transform to a space of Boehmians, Journal of the Association of Arab Universities for Basic and Applied Sciences, 2015, 17, 36 5. A class of Boehmians for a recent generalization of Hankel–Clifford transformation of arbitrary order, Afrika Matematika, 2016, 27, 5-6, 877 References 1. P. K. Banerji and D. Loonker, On the Mellin transform of tempered Boehmians, Politehn. Univ. Bucharest Sci. Bull. Ser. A Appl. Math. Phys. 62 (2000), no. 4, 39-48 2. J. J. Betancor, M. Linares, and J. M. R. Mendez, The Hankel transform of integrable Boehmians, Appl. Anal. 58 (1995), no. 3-4, 367-382 3. J. J. Betancor, M. Linares, and J. M. R. Mendez, Ultraspherical transform of summable Boehmians, Math. Japon. 44 (1996), no. 1, 81-88 4. J. Burzyk, P. Mikusinski, and D. Nemzer, Remarks on topological properties of Boehmi- ans, Rocky Mountain J. Math. 35 (2005), no. 3, 727-740 5. N. V. Kalpakam and S. Ponnusamy, Convolution transform for Boehmians, Rocky Mountain J. Math. 33 (2003), no. 4, 1353-1378 6. V. Karunakaran and N. V. Kalpakam, Boehmians representing measures, Houston J. Math. 26 (2000), no. 2, 377-386 7. J. Mikusinski and T. K. Boehme, Operational calculus. Vol. II, International Series of Monographs in Pure and Applied Mathematics, 110. Pergamon Press, Oxford; PWN| Polish Scientific Publishers, Warsaw, 1987 8. J. Mikusinski and P. Mikusinski, Quotients de suites et leurs applications dans l'analyse fonctionnelle, C. R. Acad. Sci. Paris Ser. I Math. 293 (1981), no. 9, 463-464 9. P. Mikusinski, Convergence of Boehmians, Japan. J. Math. (N.S.) 9 (1983), no. 1, 159- 179 10. P. Mikusinski, On harmonic Boehmians, Proc. Amer. Math. Soc. 106 (1989), no. 2, 447-449 11. P. Mikusinski, Tempered Boehmians and ultradistributions, Proc. Amer. Math. Soc. 123 (1995), no. 3, 813-817 12. P. Mikusinski and A. Zayed, The Radon transform of Boehmians, Proc. Amer. Math. Soc. 118 (1993), no. 2, 561-570 13. D. Nemzer, Periodic Boehmians. II, Bull. Austral. Math. Soc. 44 (1991), no. 2, 271-278 14. D. Nemzer, The dual space of${\beta}({\Gammer})\$, Internat. J. Math. Math. Sci. 20 (1997), no. 1, 111-114

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