Geodesic
An algebra generated by multiplicative discrete convolution operators
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2011), pp. 3-9

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We consider a Banach algebra generated by multiplicative discrete convolution operators. We construct a symbolic calculus for this algebra and in terms of this calculus we describe criteria for the Noetherian property of operators and obtain a formula for their index.
Mots-clés : multiplicative discrete convolution, symbol
Keywords: Banach algebra, Noetherian property, index. 
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     author = {O. G. Avsyankin},
     title = {An algebra generated by multiplicative discrete convolution operators},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
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     publisher = {mathdoc},
     number = {1},
     year = {2011},
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     url = {http://geodesic.mathdoc.fr/item/IVM_2011_1_a0/}
}
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O. G. Avsyankin. An algebra generated by multiplicative discrete convolution operators. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2011), pp. 3-9. http://geodesic.mathdoc.fr/item/IVM_2011_1_a0/