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abelian abelian groups abstract algorithm analysis analytic applications approximation asymptotic automorphisms Banach space boundary bounded C*-algebra California coefficients commutative ring compact complex conjecture construction convergence convex countable defined denote differential equations dimensional domain elements equivalent exists extension field finite formula function geometry given graph Hilbert Hilbert space holomorphic homeomorphism ideal infinite integral introduced invariant inverse isomorphic lattice Lie algebra Lie group linear manifold Math Mathematical matrix measure method minimal module nonlinear obtained October 27 October 31 operator orthogonal orthogonal polynomials paper polynomials Preliminary report prime problem proof properties prove Radon transform random Received April Received August Received January Received June Received November Received October 31 Received September representation ring SAHARON SHELAH satisfies semigroup semiprime sequence singular solutions stability stochastic structure subgroup subset Texas Theorem theory topological topological group transform University vector zero