On the support of tempered distributions

Proceedings of the Edinburgh Mathematical Society

Volumn 53, Issue 1, 2010, Pages 255-270

  Vindas, Jasson ^a   Estrada, Ricardo ^a  

^a LOUISIANA STATE UNIVERSITY   (United States)

Author keywords

Abel summability; Ces ro summability; Fourier transforms; spherical means; support of tempered distributions

Indexed keywords

EID: 77949968089     PISSN: 00130915     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0013091508000102     Document Type: Article

References (18)

1. Y. N. DROZHZHINOV AND B. I. ZAVYALOV, Tauberian theorems for generalized functions with values in Banach spaces, Izv. Akad. Nauk SSSR Ser. Mat. 66 (2002), 47-118 (in Russian; English transl. in Izv. Math. 66 (2002), 701-769).
2. R. ESTRADA, Characterization of the Fourier series of distributions having a value at a point, Proc. Am. Math.. Soc. 124 (1996), 1205-1212.
3. R. ESTRADA, The Cesaro behaviour of distributions, Proc. R. Soc. Lond. A 454 (1998), 2425-2443.
4. R. ESTRADA, A distributional version of the Ferenc Lukacs theorem, Sarajevo J. Math. 1 (2005), 75-92.
5. R. ESTRADA AND R. P. KANWAL, A distributional approach to asymptotics: theory and applications, 2nd edn (Birkhauser, 2002).
6. F. J. GONZALEZ VIELI, Inversion de Fourier ponctuelle des distributions a support compact, Arch. Math.. 75 (2000), 290-298.
7. F. J. GONZALEZ VIELI AND C. C. GRAHAM, On the support of tempered distributions, Arch. Math. 88 (2007), 133-142.
8. C. C. GRAHAM, The support of pseudomeasures in R, Math. Proc. Camb. Phil. Soc. 142 (2007), 149-152.
9. C. C. GRAHAM, The support of tempered distributions, Math. Proc. Camb. Phil. Soc. 144 (2008), 495-498.
10. J. P. KAHANE AND R. SALEM, Ensembles parfaits et series trigonometriques (Hermann, Paris, 1963).
11. S. LOJASIEWICZ, Sur la valeur et la limite d'une distribution en un point, Studia Math. 16 (1957), 1-36.
12. S. LOJASIEWICZ, Sur la fixation des variables dans une distribution, Studia Math. 17 (1958), 1-64.
13. S. PILIPOVIC, On the behavior of a distribution at the origin, Math. Nachr. 141 (1989), 27-32.
14. S. SAKS, Theory of the integral, 2nd edn (Dover, New York, 1964).
15. J. VINDAS AND R. ESTRADA, Distributionally regulated functions, Studia Math. 181 (2007), 211-236.
16. J. VlNDAS AND R. ESTRADA, Distributional point values and convergence of Fourier series and integrals, J. Fourier Analysis Applic. 13 (2007), 551-576.
17. J. VlNDAS AND S. PlLIPOVIC, Structural theorems for quasiasymptotics of distributions at the origin, Math. Nachr., in press.
18. G. WALTER, Pointwise convergence of distribution expansions, Studia Math. 26 (1966), 143-154.