Expansion of entire functions of several complex variables having finite growth
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- by P. K. Kamthan and Manjul Gupta PDF
- Trans. Amer. Math. Soc. 192 (1974), 371-382 Request permission
Abstract:
We consider the space $\chi$ of entire functions of two complex variables having a finite nonzero order point and type, equip it with the natural locally convex topology, such that $\chi$ becomes a Fréchet space. Apart from finding the characterization of continuous linear functionals, linear transformations on $\chi$, we have obtained the necessary and sufficient conditions for a double sequence in $\chi$ to be a proper base.References
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Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 192 (1974), 371-382
- MSC: Primary 32A15; Secondary 30A64
- DOI: https://doi.org/10.1090/S0002-9947-1974-0357833-9
- MathSciNet review: 0357833