Spaces of entire functions represented by vector valued Dirichlet series

• Autorzy: Srivastava G. S. , Sharma A.
• Języki publikacji: EN

Abstrakty

EN

Spaces of entire functions ƒ represented by vector valued Dirichlet series and having finite order and finite type are considered. These are endowed with a certain topology under which they become a Frechet space. On this space the form of linear continuous functionals is characterized. Proper bases are also characterized in terms of growth parameters.

Słowa kluczowe

EN

vector valued; Dirichlet series; entire function; space

PL

funkcja całkowita; szereg Dirichleta; przestrzeń

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2011
• Tom: Vol. 34
• Strony: 97--107
• Opis fizyczny: Bibliogr. 3 poz.

Twórcy

autor

Srivastava G. S.

• Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee-247667, INDIA

autor

Sharma A.

• Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee-247667, INDIA

Bibliografia

• [1] B. L. Srivastava, A study of spaces of certain classes of Vector Valued Dirichlet Series, Thesis, I.I.T Kanpur, 1983.
• [2] P. K. Kamthan and T. Hussain, Spaces of entire functions represented by Dirichlet series, Collec.Math., 19 (3)(1968), 203-216.
• [3] P. K. Kamthan and S. K. Singh, Gautam-Bases in a certain space of Dirichlet entire transformations, Indian J. pure appl. Math., 6 (8) (1975), 856-863.