Maurice Heins

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THEOREM 1. Let S be a compact Riemann surface of genus 2g—l, g à 2, which permits a conformai fixed point free involution 1\ Let 7i, * • • , 72o-i ; Si, • • • , Ô20_i be a canonical dissection of S and let T be such that T(yi) is homologous to yi9 T(8i) is homologous to Si, T(yi) is homologous to y0+i-i and T(ôi) is homologous to S0+»_i, i = 2, • • • , g.(More)
In its classical form the Virial Theorem concerns the behavior of a system S of n mass particles acting under Newtonian attraction in such a fashion that the center of mass 0 remains fixed and the potential energy V satisfies V> — <*> for all positive time t. The latter condition, which is not always stated explicitly, guarantees the analyticity of the(More)
1. Conformai metrics of curvature no greater than — 4 are important in certain function-theoretic questions. Such metrics were introduced by Ahlfors [ l ] in his paper in which it was shown that the Bloch constant was at least as large as 3/4. Ideas of this paper were applied to the Picard theorem and allied questions by R. M. Robinson [3]. The present(More)
1. Interior Transformations.-The objective of the authors is to find out what properties of meromorphic functions are essentially topological in character, and by the introduction of appropriate topological concepts and methods to extend and simplify the present theory. To that end it is natural to replace the class of meromorphic functions by their(More)
CONTINUOUS SPECTRA. II BY C. R. PUTNAM Communicated by Maurice Heins, November 1, 1967 1. This paper is a continuation of [4]. It may be recalled that if A is a self-adjoint operator on a Hubert space § with spectral resolution A=zf\dE\, then the set of elements x in § for which ||-Ex#|| is an absolutely continuous function of X is a subspace, &a(A), of §(More)