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SHREERAM SHANKAR ABHYANKAR
SHREERAM ABHYANKAR and CLIFFORD RISK
functions v bargmann
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3-geometry algebra algebraic curve analytic function applied asymptotic axially symmetric Bergman boundary conditions boundary value bounded classical coefficients coherent state representation complex variable conformal mapping consider constant continuous convergence coordinates corresponding curve defined denote derivative domain eigenvalues elements entire function equivalent exists expansion expressed field theory finite fluid formula Fuchsian group geometrodynamics geometry given gravitational Green's functions harmonic functions heat equation Hilbert space infinity integral operator intermediate problems inverse irreducible kernel lattice Lemma linear Lorentz mapping Math mathematical matrix method obtain orthogonal paper parameter partial differential equations particles perturbation Phys physical plane polynomials positive potential proof properties prove quantum quasiconformal quasiconformal mapping region relation result Riemann surface satisfies scattering amplitude sequence singularities solution subspace superspace Theorem tion topology transformation unitary University vectors wave zeros