Divergent sums of spherical harmonics

Christopher Meaney

    Research output: Chapter in Book/Report/Conference proceedingConference proceeding contribution

    Abstract

    We combine the Cantor-Lebesgue Theorem and Uniform Boundedness Principle to prove a divergence result for Cesàro and Bochner-Riesz means of spherical harmonic expansions.
    Original languageEnglish
    Title of host publicationInternational Conference on Harmonic Analysis and Related Topics
    EditorsXuan Thinh Duong, Alan Pryde
    Place of PublicationCanberra
    PublisherCentre for Mathematics and its Applications, The Australian National University
    Pages110-117
    Number of pages8
    ISBN (Print)0731552059
    Publication statusPublished - 2003
    EventInternational Conference on Harmonic Analysis and Related Topics - North Ryde, NSW
    Duration: 14 Jan 200218 Jan 2002

    Conference

    ConferenceInternational Conference on Harmonic Analysis and Related Topics
    CityNorth Ryde, NSW
    Period14/01/0218/01/02

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  • Cite this

    Meaney, C. (2003). Divergent sums of spherical harmonics. In X. T. Duong, & A. Pryde (Eds.), International Conference on Harmonic Analysis and Related Topics (pp. 110-117). Canberra: Centre for Mathematics and its Applications, The Australian National University.