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Fourier restriction for hypersurfaces in three dimensions and Newton polyhedra / / Isroil A. Ikromov and Detlef Müller
| Fourier restriction for hypersurfaces in three dimensions and Newton polyhedra / / Isroil A. Ikromov and Detlef Müller |
| Autore | Ikromov Isroil A. <1961-> |
| Pubbl/distr/stampa | Princeton : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (269 p.) |
| Disciplina | 516.3/52 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Hypersurfaces
Polyhedra Surfaces, Algebraic Fourier analysis |
| Soggetto non controllato |
Airy cone
Airy-type analysis Airy-type decompositions Fourier decay Fourier integral Fourier restriction estimate Fourier restriction problem Fourier restriction theorem Fourier restriction Fourier transform Greenleaf's restriction Lebesgue spaces LittlewoodАaley decomposition LittlewoodАaley theory Newton polyhedra Newton polyhedral Newton polyhedron SteinДomas-type Fourier restriction auxiliary results complex interpolation dyadic decomposition dyadic decompositions dyadic domain decompositions endpoint estimates endpoint result improved estimates interpolation arguments interpolation theorem invariant description linear coordinates linearly adapted coordinates normalized measures normalized rescale measures one-dimensional oscillatory integrals open cases operator norms phase functions preparatory results principal root jet propositions r-height real interpolation real-analytic hypersurface refined Airy-type analysis restriction estimates restriction smooth hypersurface smooth hypersurfaces spectral localization stopping-time algorithm sublevel type thin sets three dimensions transition domains uniform bounds van der Corput-type estimates |
| ISBN | 1-4008-8124-2 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Chapter 1. Introduction -- Chapter 2. Auxiliary Results -- Chapter 3. Reduction to Restriction Estimates near the Principal Root Jet -- Chapter 4. Restriction for Surfaces with Linear Height below 2 -- Chapter 5. Improved Estimates by Means of Airy-Type Analysis -- Chapter 6. The Case When hlin(Φ) ≥ 2: Preparatory Results -- Chapter 7. How to Go beyond the Case hlin(Φ) ≥ 5 -- Chapter 8. The Remaining Cases Where m = 2 and B = 3 or B = 4 -- Chapter 9. Proofs of Propositions 1.7 and 1.17 -- Bibliography -- Index |
| Record Nr. | UNINA-9910798386803321 |
Ikromov Isroil A. <1961->
|
||
| Princeton : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Fourier restriction for hypersurfaces in three dimensions and Newton polyhedra / / Isroil A. Ikromov and Detlef Müller
| Fourier restriction for hypersurfaces in three dimensions and Newton polyhedra / / Isroil A. Ikromov and Detlef Müller |
| Autore | Ikromov Isroil A. <1961-> |
| Pubbl/distr/stampa | Princeton : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (269 p.) |
| Disciplina | 516.3/52 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Hypersurfaces
Polyhedra Surfaces, Algebraic Fourier analysis |
| Soggetto non controllato |
Airy cone
Airy-type analysis Airy-type decompositions Fourier decay Fourier integral Fourier restriction estimate Fourier restriction problem Fourier restriction theorem Fourier restriction Fourier transform Greenleaf's restriction Lebesgue spaces LittlewoodАaley decomposition LittlewoodАaley theory Newton polyhedra Newton polyhedral Newton polyhedron SteinДomas-type Fourier restriction auxiliary results complex interpolation dyadic decomposition dyadic decompositions dyadic domain decompositions endpoint estimates endpoint result improved estimates interpolation arguments interpolation theorem invariant description linear coordinates linearly adapted coordinates normalized measures normalized rescale measures one-dimensional oscillatory integrals open cases operator norms phase functions preparatory results principal root jet propositions r-height real interpolation real-analytic hypersurface refined Airy-type analysis restriction estimates restriction smooth hypersurface smooth hypersurfaces spectral localization stopping-time algorithm sublevel type thin sets three dimensions transition domains uniform bounds van der Corput-type estimates |
| ISBN | 1-4008-8124-2 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Chapter 1. Introduction -- Chapter 2. Auxiliary Results -- Chapter 3. Reduction to Restriction Estimates near the Principal Root Jet -- Chapter 4. Restriction for Surfaces with Linear Height below 2 -- Chapter 5. Improved Estimates by Means of Airy-Type Analysis -- Chapter 6. The Case When hlin(Φ) ≥ 2: Preparatory Results -- Chapter 7. How to Go beyond the Case hlin(Φ) ≥ 5 -- Chapter 8. The Remaining Cases Where m = 2 and B = 3 or B = 4 -- Chapter 9. Proofs of Propositions 1.7 and 1.17 -- Bibliography -- Index |
| Record Nr. | UNINA-9910815039003321 |
|
Ikromov Isroil A. <1961->
|
||
| Princeton : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Multi-parameter singular integrals / / Brian Street
| Multi-parameter singular integrals / / Brian Street |
| Autore | Street Brian |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2014 |
| Descrizione fisica | 1 online resource (412 p.) |
| Disciplina | 515/.98 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Singular integrals
Transformations (Mathematics) |
| Soggetto non controllato |
CaldernКygmund singular integrals
CaldernКygmund CarnotЃarathodory balls CarnotЃarathodory geometry CarnotЃarathodory metric Euclidean singular integral operators Frobenius theorem Frobenius LittlewoodАaley theory Schwartz space Sobolev spaces convolution elliptic partial differential equations elliptic partial differential operators flag kernels invariant operators linear partial differential equation non-homogeneous kernels pseudodifferential operators singular integral operator singular integral operators singular integrals strengthened cancellation |
| ISBN | 1-4008-5275-7 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- 1. The Calderón-Zygmund Theory I: Ellipticity -- 2. The Calderón-Zygmund Theory II: Maximal Hypoellipticity -- 3. Multi-parameter Carnot-Carathéodory Geometry -- 4. Multi-parameter Singular Integrals I: Examples -- 5. Multi-parameter Singular Integrals II: General Theory -- Appendix A. Functional Analysis -- Appendix B. Three Results from Calculus -- Appendix C. Notation -- Bibliography -- Index |
| Record Nr. | UNINA-9910786417503321 |
|
Street Brian
|
||
| Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Multi-parameter singular integrals / / Brian Street
| Multi-parameter singular integrals / / Brian Street |
| Autore | Street Brian |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2014 |
| Descrizione fisica | 1 online resource (412 p.) |
| Disciplina | 515/.98 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Singular integrals
Transformations (Mathematics) |
| Soggetto non controllato |
CaldernКygmund singular integrals
CaldernКygmund CarnotЃarathodory balls CarnotЃarathodory geometry CarnotЃarathodory metric Euclidean singular integral operators Frobenius theorem Frobenius LittlewoodАaley theory Schwartz space Sobolev spaces convolution elliptic partial differential equations elliptic partial differential operators flag kernels invariant operators linear partial differential equation non-homogeneous kernels pseudodifferential operators singular integral operator singular integral operators singular integrals strengthened cancellation |
| ISBN | 1-4008-5275-7 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- 1. The Calderón-Zygmund Theory I: Ellipticity -- 2. The Calderón-Zygmund Theory II: Maximal Hypoellipticity -- 3. Multi-parameter Carnot-Carathéodory Geometry -- 4. Multi-parameter Singular Integrals I: Examples -- 5. Multi-parameter Singular Integrals II: General Theory -- Appendix A. Functional Analysis -- Appendix B. Three Results from Calculus -- Appendix C. Notation -- Bibliography -- Index |
| Record Nr. | UNINA-9910818432203321 |
|
Street Brian
|
||
| Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||