Displaying similar documents to “The connection between the proximate order of an entire characteristic function and the corresponding distribution function”

The growth of entire solutions of differential equations of finite and infinite order

Lawrence Gruman (1972)

Annales de l'institut Fourier

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For certain Fréchet spaces of entire functions of several variables satisfying some specified growth conditions, we define a constant coefficient differential operator α ˇ as the transpose of a convolution operation in the dual space of continuous linear functionals and show that for f ( z ) in one of these spaces, their always exists a solution of the differential equation α ˇ ( x ) = f in the same space.