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    Harmonic functions on locally compact groups of polynomial growth

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    We extend a theorem by Kleiner, stating that on a group with polynomial growth, the space of harmonic functions of polynomial of at most kk is finite dimensional, to the settings of locally compact groups equipped with measures with non-compact support. This has implications to the structure of the space of polynomially growing harmonic functions.Comment: 20 page

    The Possible Detection of Dark Energy on Earth Using Atom Interferometry

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    This paper describes the concept and the beginning of an experimental investigation of whether it is possible to directly detect dark energy density on earth using atom interferometry. The concept is to null out the gravitational force using a double interferometer. This research provides a non-astronomical path for research on dark energy. The application of this method to other hypothetical weak forces and fields is also discussed. In the the final section I discuss the advantages of carrying out a dark energy density search in a satellite in earth orbit where more precise nulling of gravitational forces can be achieved

    Statement of Arnold E. Perl Before the Commission on the Future of Worker-Management Relations

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    Testimony_Perl_081094.pdf: 191 downloads, before Oct. 1, 2020
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