Geodesic
Representation of solutions of convolution equations in nonquasianalytic Beurling classes of ultradifferentiable functions of mean type
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2011), pp. 3-11

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We consider convolution equations in nonquasianalytic Beurling spaces of ultradifferentiable functions of mean type. We obtain a representation for a particular solution to such an equation as an exponential series whose coefficients are determined by the right-hand side of the equation.
Mots-clés : convolution equation
Keywords: ultradifferentiable functions, exponential series. 
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     author = {D. A. Abanina},
     title = {Representation of solutions of convolution equations in nonquasianalytic {Beurling} classes of ultradifferentiable functions of mean type},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {3--11},
     publisher = {mathdoc},
     number = {6},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2011_6_a0/}
}
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D. A. Abanina. Representation of solutions of convolution equations in nonquasianalytic Beurling classes of ultradifferentiable functions of mean type. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2011), pp. 3-11. http://geodesic.mathdoc.fr/item/IVM_2011_6_a0/