Geodesic
On A Certain Class of Entire Functions
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Complex analysis, Tome 153 (2018), pp. 135-142

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In this paper, we examine the problem on the description in terms of the Laplace transform of functionals from the conjugate space for the Hilbert space of entire functions of $n$ variables constructed by a convex function in ${\mathbb C}^n$, which depends on the modules of variables and grows at infinity faster than $a\|z\|$ for any $a>0$.
Keywords: Hilbert space, entire function, convex function, Young–Fenchel transform.
Mots-clés : Laplace transform 
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     title = {On {A} {Certain} {Class} of {Entire} {Functions}},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {135--142},
     publisher = {mathdoc},
     volume = {153},
     year = {2018},
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I. Kh. Musin. On A Certain Class of Entire Functions. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Complex analysis, Tome 153 (2018), pp. 135-142. http://geodesic.mathdoc.fr/item/INTO_2018_153_a9/