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A local version of the two-circles theorem

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Abstract

A necessary and sufficient condition is given so that in a domain Ω there are no functions whose average over all balls contained in Ω of radiir 1,r 2 vanish except the zero function.

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Authors and Affiliations

  1. Mathematics Department, University of Maryland, 20742, College Park, MD, USA

    Carlos A. Berenstein

  2. Universite de Bordeaux I, U.E.R. de Mathematiques et Informatique, Unite Associee au C.N.R.S. N 040226, 351, Course de la Liberation, 334505, Talence Cedex, France

    Roger Gay

Authors
  1. Carlos A. Berenstein
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  2. Roger Gay
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Additional information

Partially supported by NSF grant DMS-8401356 and by NSF grant OJR 85-OV-108 through the Systems Research Center of the University of Maryland.

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Berenstein, C.A., Gay, R. A local version of the two-circles theorem. Israel J. Math. 55, 267–288 (1986). https://doi.org/10.1007/BF02765026

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  • DOI: https://doi.org/10.1007/BF02765026

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