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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->
|
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| 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 | ||
| ||
Recent Developments of Function Spaces and Their Applications I
| Recent Developments of Function Spaces and Their Applications I |
| Autore | Yang Dachun |
| Pubbl/distr/stampa | Basel, : MDPI - Multidisciplinary Digital Publishing Institute, 2022 |
| Descrizione fisica | 1 online resource (408 p.) |
| Soggetto topico |
Mathematics & science
Research & information: general |
| Soggetto non controllato |
(localized) John-Nirenberg-Campanato space
(mixed-norm) Hardy space anisotropic log-potential anisotropy annulus body besov space bilinear estimate block spaces BMO Calderón operator Calderón-Zygmund operator capacity commutator commutators compact manifolds congruent cube continuous ellipsoid cover convexification cube differential operators Dirichlet problem dual log-mixed volume duality Euclidean space expansive matrix extrapolation fractional Laplacian generalized smoothness Hajłasz-Besov space Hajłasz-Sobolev space Hajłasz-Triebel-Lizorkin space Hardy inequality hardy space Hardy space Hardy's inequality homogeneous group JNp Lebesgue point local block space local Morrey space maximal function metric measure space meyer wavelet molecule Morrey space Morrey spaces optimal polynomial inequality paraproduct pointwise multipliers real interpolation Riesz potential Riesz-Morrey space Schrödinger equation Sobolev spaces space of homogeneous type T(1) theorem tensor bundles Triebel-Lizorkin space uniform domain vanishing John-Nirenberg space variable Lebesgue space |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910576885603321 |
|
Yang Dachun
|
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| Basel, : MDPI - Multidisciplinary Digital Publishing Institute, 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||