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Fourier Restriction for Hypersurfaces in Three Dimensions and Newton Polyhedra (AM-194)
Isroil A. Ikromov
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Description for Fourier Restriction for Hypersurfaces in Three Dimensions and Newton Polyhedra (AM-194)
Paperback. Series: Annals of Mathematics Studies. Num Pages: 312 pages, 7 line illus. BIC Classification: PBKF; PBM; PBP. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 229 x 152. .
This is the first book to present a complete characterization of Stein-Tomas type Fourier restriction estimates for large classes of smooth hypersurfaces in three dimensions, including all real-analytic hypersurfaces. The range of Lebesgue spaces for which these estimates are valid is described in terms of Newton polyhedra associated to the given surface. Isroil Ikromov and Detlef Muller begin with Elias M. Stein's concept of Fourier restriction and some relations between the decay of the Fourier transform of the surface measure and Stein-Tomas type restriction estimates. Varchenko's ideas relating Fourier decay to associated Newton polyhedra are briefly explained, particularly the ... Read more
This is the first book to present a complete characterization of Stein-Tomas type Fourier restriction estimates for large classes of smooth hypersurfaces in three dimensions, including all real-analytic hypersurfaces. The range of Lebesgue spaces for which these estimates are valid is described in terms of Newton polyhedra associated to the given surface. Isroil Ikromov and Detlef Muller begin with Elias M. Stein's concept of Fourier restriction and some relations between the decay of the Fourier transform of the surface measure and Stein-Tomas type restriction estimates. Varchenko's ideas relating Fourier decay to associated Newton polyhedra are briefly explained, particularly the ... Read more
Product Details
Format
Paperback
Publication date
2016
Publisher
Princeton University Press
Condition
New
Series
Annals of Mathematics Studies
Number of Pages
272
Place of Publication
New Jersey, United States
ISBN
9780691170558
SKU
V9780691170558
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About Isroil A. Ikromov
Isroil A. Ikromov is professor of mathematics at Samarkand State University in Uzbekistan. Detlef Muller is professor of mathematics at the University of Kiel in Germany.
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