How Long to Read Fourier Restriction for Hypersurfaces in Three Dimensions and Newton Polyhedra (AM-194)

How Long Does it Take to Read Fourier Restriction for Hypersurfaces in Three Dimensions and Newton Polyhedra (AM-194)?

It takes the average reader 4 hours and 38 minutes to read Fourier Restriction for Hypersurfaces in Three Dimensions and Newton Polyhedra (AM-194) by Isroil A. Ikromov

Assuming a reading speed of 250 words per minute. Learn more

Description

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 Müller 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 concept of adapted coordinates and the notion of height. It turns out that these classical tools essentially suffice already to treat the case where there exist linear adapted coordinates, and thus Ikromov and Müller concentrate on the remaining case. Here the notion of r-height is introduced, which proves to be the right new concept. They then describe decomposition techniques and related stopping time algorithms that allow to partition the given surface into various pieces, which can eventually be handled by means of oscillatory integral estimates. Different interpolation techniques are presented and used, from complex to more recent real methods by Bak and Seeger. Fourier restriction plays an important role in several fields, in particular in real and harmonic analysis, number theory, and PDEs. This book will interest graduate students and researchers working in such fields.

How long is Fourier Restriction for Hypersurfaces in Three Dimensions and Newton Polyhedra (AM-194)?

Fourier Restriction for Hypersurfaces in Three Dimensions and Newton Polyhedra (AM-194) by Isroil A. Ikromov is 269 pages long, and a total of 69,671 words.

This makes it 91% the length of the average book. It also has 85% more words than the average book.

How Long Does it Take to Read Fourier Restriction for Hypersurfaces in Three Dimensions and Newton Polyhedra (AM-194) Aloud?

The average oral reading speed is 183 words per minute. This means it takes 6 hours and 20 minutes to read Fourier Restriction for Hypersurfaces in Three Dimensions and Newton Polyhedra (AM-194) aloud.

What Reading Level is Fourier Restriction for Hypersurfaces in Three Dimensions and Newton Polyhedra (AM-194)?

Fourier Restriction for Hypersurfaces in Three Dimensions and Newton Polyhedra (AM-194) is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Fourier Restriction for Hypersurfaces in Three Dimensions and Newton Polyhedra (AM-194)?

Fourier Restriction for Hypersurfaces in Three Dimensions and Newton Polyhedra (AM-194) by Isroil A. Ikromov is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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