Authors: Vasile Neaga
Abstract
The work is centred on the sdudy of algebra

generated by singular integral operators with shifts with continuous coefficients. We determine the set of maximal ideals of quotient
algebra

,

, with respect to the ideal of compact operators. Prove that the bicompact of maximal ideals of

is isomorphic to the topological product (Γ × j) × (Γ × k), where j = ± 1 and k = ± 1 Necessary and sufficient condition are established for operators of

to be noetherian and to admit equivalent regularization in space L
p(Γ, ρ), regularizators for noetherian operators are constructed. The study is done in the space L
p(Γ, ρ) with weight

and is based on the theory of Ghelfand [1] concerning Banach algebras.
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