Some Expansions in Vector Space |
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absolutely convergent addition analytic function Applying Assume clearly coefficients complex condition Consider continuous functions convenient converge COROLLARY defined definies an analytic Definition degree n denote determinant equal evident exist follows immediately Fréchet differential Fredholm func Furthermore given gives Hence homogeneous polynomial hypothesis identity Integrate Journ left hand inverse Lemma less than unity LIBRARY linear vector space log D(T Math MATHEMATICS mean modulus multiplication namely norm number system observe obtain once operation polynomial of degree positive postulates power series Proof properties proved R. S. MARTIN radii radii of analyticity radii of convergence radius regard region relation represent resolvent respectively result rotation satisfies shown similar argument simple solution space V,(A studied successive sums T₁ taking Taking norms tend to zero term THEOREM Theorem 3.I theorem is proved tions transposed unique unit circle write