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Restriction Theorems and the Schrödinger Multiplier on the Torus

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Book cover Partial Differential Equations with Minimal Smoothness and Applications

Part of the book series: The IMA Volumes in Mathematics and its Applications ((IMA,volume 42))

Abstract

Restriction theorems for Fourier integrals and series are proven. In the continuous case, a mixed norm inequality for the restriction of the Fourier transform to the sphere is given. On the other hand a discrete version of a result by R.S. Strichartz [10] is found.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Chicago, 5734 South University Avenue, Chicago, IL, 60637, USA

    Luis Vega

Authors
  1. Luis Vega
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of South Carolina, Columbia, SC, 29303, USA

    B. Dahlberg

  2. Department of Mathematics, University of Chicago, Chicago, IL, 60637, USA

    R. Fefferman , Carlos Kenig  & J. Pipher ,  & 

  3. Department of Mathematics, University of Minnesota, Minneapolis, MN, 55455, USA

    Eugene Fabes

  4. Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA

    David Jerison

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© 1992 Springer-Verlag New York, Inc.

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Vega, L. (1992). Restriction Theorems and the Schrödinger Multiplier on the Torus. In: Dahlberg, B., Fefferman, R., Kenig, C., Fabes, E., Jerison, D., Pipher, J. (eds) Partial Differential Equations with Minimal Smoothness and Applications. The IMA Volumes in Mathematics and its Applications, vol 42. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2898-1_18

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  • DOI: https://doi.org/10.1007/978-1-4612-2898-1_18

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7712-5

  • Online ISBN: 978-1-4612-2898-1

  • eBook Packages: Springer Book Archive

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