## Annals of Mathematics |

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### Contents

in extension of Parsevals formula in the theory of orthogonal functions By Kien | 511 |

On certain implications which characterize Hilbert space By E R Lobch | 523 |

On the DenjoyCarlemanAhlfors Theorem By Maurice Heins | 533 |

12 other sections not shown

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abelian algebraic matric group arbitrary asymptotic automorphisms Banach space boundary bounded closed coefficients cohomology compact completes the proof components condition connected consider contains continuous converges convex coordinates corresponding coset crossnorm curve defined definition denote differential field dimension dimensional element equivalent exists extension finite number follows formula function fundamental group geometry given Hence homology homomorphism homotopy groups hyperplane ideal identity implies inequality integral invariant irreducible isomorphic J. H. C. Whitehead kernel lattice Lemma linear space linear transformations mapping Math matrices minimal surface normal obtain open set plane polynomial positive number prime ideals projective geometry proof of Theorem properties prove relation represented respect result ring satisfies scalar sequence solution subgroup subset Suppose surface tangent Theorem theory tion topological topological group torus homotopy groups values vanish vector zero