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abelian abelian group algebra Amer Anal analytic Appl applications asymptotic author considers author proves author shows author studies automorphism Banach space boundary bounded C*-algebra coefficients cohomology compact complex Comput conjecture construction continuous functions convergence convex curvature defined denote differential equations dimension domain eigenvalues elliptic English summary entire collection equivalent example existence extension field formula Frechet spaces functions geometry given graph group G Hilbert space holomorphic inequality integral invariant isomorphic lattice Lie algebra Lie group linear logic main result manifolds Math mathematics matrix method metric metric space module nonlinear norm obtained operator optimal paper the author partial differential equations points polynomial proof properties representation Riemannian manifold ring Russian summary satisfies semigroup sequence singular solutions spectral structure subgroup subset subspace sufficient conditions symmetric theorem theory tion topology transformation translation Univ value problem variables vector