Linear Functionals in Some Spaces of Entire Functions of Finite Order

Konstantin Gennadyevich Malyutin, Taisiya I Malyutina
938 144

Abstract


We consider the the linear topology space of entire functions of a proximate order and normal type with respect to the proximate order. We obtain the form of continuous linear functional on this space.

Keywords


Entire function, proximate order, continuous linear functional.

Full Text:

PDF

References


Levin, B.Ya., Distribution of Zeros of Entire Functions, English revised edition Amer. Math.Soc, Providence, RI, 523pp. MR 81k:30011, 1980.

Bingham N.H., Goldie C.M., Teugels J.L., Regular variation, Cambridge university press, Cambridge, London, New-York, New Rochele, Melburn, Sydney, 1987.

Leont'ev, A.F., Obobshcheniye ryadov e'ksponent, Nauka, (Russian), 1981.