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## Restriction for Surfaces with Linear Height below 2

*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/9780691170541.003.0004
- Subject:
- Mathematics, Geometry / Topology

This chapter studies the case where hsubscript lin(φ) < 2. It first performs a dyadic decomposition of a domain introduced in the previous chapter and the corresponding measure dμsuperscript Greek ... More

##
The Case When *h*lin(φ) ≥ 2: Preparatory Results

*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/9780691170541.003.0006
- Subject:
- Mathematics, Geometry / Topology

This chapter turns to the case where hsubscript lin(φ) ≥ 2. In a first step, the chapter performs a decomposition of the remaining piece Ssubscript Greek small letter psi of the surface S. Then, in ... More

##
The Remaining Cases Where *m* = 2 and *B* = 3 or *B* = 4

*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/9780691170541.003.0008
- Subject:
- Mathematics, Geometry / Topology

This chapter discusses the remaining cases for l = 1. With the same basic approach as in Chapter 5, the chapter again performs an additional dyadic frequency domain decomposition related to the ... More

## Reduction to Restriction Estimates near the Principal Root Jet

*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/9780691170541.003.0003
- Subject:
- Mathematics, Geometry / Topology

This chapter shows that one may reduce the desired Fourier restriction estimate to a piece Ssubscript Greek small letter psi of the surface S lying above a small, “horn-shaped” neighborhood ... More

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