Mockenhaupt: A restriction theorem for the Fourier transform.
Restriction and Kakeya phenomena for finite fields. By Gerd Mockenhaupt and Terence Tao. Abstract. Abstract. The restriction and Kakeya problems in Euclidean space have received much attention in the last few decades, and are related to many problems in harmonic analysis, PDE, and number theory.
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The restriction and Kakeya problems in Euclidean space have received much attention in the last few decades, and are related to many problems in harmonic analysis, PDE, and number theory. In this paper we initiate the study of these problems on finite fields. The restriction problem then becomes a question about general bounds for certain types of exponential sums, while the Kakeya problem has.
CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): The restriction and Kakeya problems in Euclidean space have received much attention in the last few decades, and they are related to many problems in harmonic analysis, partial differential equations (PDEs), and number theory. In this paper we initiate the study of these problems on finite fields.
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