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Fourier Restriction for Hypersurfaces in Three Dimensions and Newton Polyhedra (AM-194)

Isroil A. Ikromov and Detlef Müller

Published in print:
2016
Published Online:
October 2017
ISBN:
9780691170541
eISBN:
9781400881246
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691170541.001.0001
Subject:
Mathematics, Geometry / Topology

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 ... More


Introduction

Isroil A. Ikromov, Detlef Müller, Isroil A. Ikromov, and Detlef Müller

in Fourier Restriction for Hypersurfaces in Three Dimensions and Newton Polyhedra (AM-194)

Published in print:
2016
Published Online:
October 2017
ISBN:
9780691170541
eISBN:
9781400881246
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691170541.003.0001
Subject:
Mathematics, Geometry / Topology

This chapter discusses the Fourier restriction. The Fourier restriction problem presents one important instance of a wide circle of related problems, such as the boundedness properties of Bochner ... More


How to Go beyond the Case <i>h</i>lin(φ‎) ≥ 5

Isroil A. Ikromov and Detlef Müller

in Fourier Restriction for Hypersurfaces in Three Dimensions and Newton Polyhedra (AM-194)

Published in print:
2016
Published Online:
October 2017
ISBN:
9780691170541
eISBN:
9781400881246
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691170541.003.0007
Subject:
Mathematics, Geometry / Topology

This chapter mostly considers the domains of type Dsubscript (l), which are in some sense “closest” to the principal root jet, since it turns out that the other domains Dsubscript (l) with l ≥ 2 are ... More


Proofs of Propositions 1.7 and 1.17

Isroil A. Ikromov and Detlef Müller

in Fourier Restriction for Hypersurfaces in Three Dimensions and Newton Polyhedra (AM-194)

Published in print:
2016
Published Online:
October 2017
ISBN:
9780691170541
eISBN:
9781400881246
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691170541.003.0009
Subject:
Mathematics, Geometry / Topology

This chapter showcases the remaining proofs of two results from the first chapter. It turns to the first of these results, based on a proposition made Chapter 1, on the characterization of linearly ... More


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