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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 *h*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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