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Abstrakty
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.
Czasopismo
Rocznik
Tom
Strony
97--107
Opis fizyczny
Bibliogr. 3 poz.
Twórcy
autor
- Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee-247667, INDIA
autor
- 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.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-a7e614eb-11c2-491e-bc32-808c1af69aac