Quadratures with Remainders

  • J. A. Wixom
  • Published 2010

Abstract

where / is in the Hilbert space L2iEp). L2iE„) is {/(z) : / is analytic inside the ellipse E„ and íS¡¡P\fiz)\2 dx dy exists}, where Ep is the ellipse with foci at ±1, semimajor axis a, semiminor axis b = (a2 — l)1'2 and p = (a 4b)2, and the double integral is taken over the region inside the ellipse. For additional information on the space L2iE„) the reader… (More)

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