THE PRODUCT OF ANALYTIC FUNCTIONALS IN Z' |
Li, Chenkuan
(DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE BRANDON UNIVERSITY)
Zhang, Yang (DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE BRANDON UNIVERSITY) Aguirre, Manuel (NUCLEO CONSOLIDADO DE MATEMATICA PURA Y APLICADA FACULTAD DE CIENCIAS EXACTAS) Tang, Ricky (DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE BRANDON UNIVERSITY) |
1 | M. A. Aguirre T, A generalization of convolution product of the distributional families related to the diamond operator, Thai J. Math. 2 (2004), 97-106 |
2 | B. H. Li, Non-standard analysis and multiplication of distributions, Sci. Sinica 21 (1978), no. 5, 561-585 |
3 | H. J. Bremermann, Distributions, Complex Variables, and Fourier Transforms, Addison-Wesley Publishing Co., Inc., Reading, Mass.-London 1965 |
4 | L. Z. Cheng and C. K. Li, A commutative neutrix product of distributions on , Math. Nachr. 151 (1991), 345-355 DOI |
5 | B. Fisher, The product of distributions, Quart. J. Math. Oxford Ser. (2) 22 (1971), 291-298 DOI |
6 | M. A. Aguirre T, A convolution product of (2j)th derivative of Dirac's delta in r and multiplicative distributional product between and , Int. J. Math. Math. Sci. (2003), no. 13, 789-799 |
7 | M. A. Aguirre T, The expansion in series (of Taylor types) of (k - 1) derivative of Dirac's delta in + P, Integral Transforms Spec. Funct. 14 (2003), no. 2, 117-127 DOI ScienceOn |
8 | M. A. Aguirre T, The series expansion of (r - c), Math. Notae 35 (1991), 53-61 |
9 | M. A. Aguirre T, The expansion of , Integral Transform. Spec. Funct. 8 (1999), no. 1-2, 139-148 DOI ScienceOn |
10 | P. Antosik, J. Mikusinski, and R. Sikorski, Theory of Distributions. The Sequential Approach, Elsevier Scientific Publishing Co., Amsterdam; PWN-Polish Scientific Publishers, Warsaw, 1973 |
11 | B. Fisher, A noncommutative neutrix product of distributions, Math. Nachr. 108 (1982), 117-127 DOI |
12 | B. Fisher and K. Tas, The convolution of functions and distributions, J. Math. Anal. Appl. 306 (2005), no. 1, 364-374 DOI ScienceOn |
13 | B. Fisher and K. Tas, On the composition of the distributions and , J. Math. Anal. Appl. 318 (2006), no. 1, 102-111 DOI ScienceOn |
14 | B. Fisher and K. Tas, On the non-commutative neutrix product of the distributions |x| and , Integral Transforms Spec. Funct. 16 (2005), no. 2, 131-138 DOI ScienceOn |
15 | B. Fisher and K. Tas, On the commutative product of distributions, J. Korean Math. Soc. 43 (2006), no. 2, 271-281 과학기술학회마을 DOI ScienceOn |
16 | C. K. Li, An approach for distributional products on , Integral Transforms Spec. Funct. 16 (2005), no. 2, 139-151 DOI ScienceOn |
17 | S. Gasiorowicz, Elementary Particle Physics, J. Wiley and Sons, Inc., N. Y. 1966 |
18 | I. M. Gel'fand and G. E. Shilov, Generalized functions, Vol. I, Academic Press, 1964 |
19 | A. Kilicman and B. Fisher, Further results on the noncommutative neutrix product of distributions, Serdica 19 (1993), no. 2-3, 145-152 |
20 | C. K. Li and B. Fisher, Example of the neutrix product of distributions on , Rad. Mat. 6 (1990), no. 1, 129-137 |
21 | C. K. Li and E. L. Koh, The neutrix convolution product in Z'(m) and the exchange formula, Internat. J. Math. Math. Sci. 21 (1998), no. 4, 695-700 DOI |
22 | L. Schwartz, Theorie des distributions a valeurs vectorielles, I, II, Ann. Inst. Fourier, Grenoble 7,8 (1957/58), 1-141. (1-209) |
23 | F. Treves, Topological vector spaces, distributions and kernels, Academic Press, 1970 |
24 | C. K. Li, The product of and on , Int. J. Math. Math. Sci. 24 (2000), no. 6, 361-369 DOI |
25 | C. K. Li, The products on the unit sphere and even-dimension spaces, J. Math. Anal. Appl. 305 (2005), no. 1, 97-106 DOI ScienceOn |