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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 electronic resource (408 p.) |
| Soggetto topico |
Research & information: general
Mathematics & science |
| Soggetto non controllato |
expansive matrix
(mixed-norm) Hardy space molecule Calderón–Zygmund operator real interpolation besov space meyer wavelet Euclidean space cube congruent cube BMO JNp (localized) John–Nirenberg–Campanato space Riesz–Morrey space vanishing John–Nirenberg space duality commutator commutators Riesz potential homogeneous group space of homogeneous type paraproduct T(1) theorem hardy space bilinear estimate Hajłasz–Sobolev space Hajłasz–Besov space Hajłasz–Triebel–Lizorkin space generalized smoothness Lebesgue point capacity pointwise multipliers Morrey spaces block spaces convexification Calderón operator Hardy’s inequality variable Lebesgue space local Morrey space local block space extrapolation anisotropy Hardy space continuous ellipsoid cover maximal function anisotropic log-potential optimal polynomial inequality annulus body dual log-mixed volume Sobolev spaces compact manifolds tensor bundles differential operators Triebel–Lizorkin space Hardy inequality uniform domain fractional Laplacian Schrödinger equation Morrey space Dirichlet problem metric measure 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 | ||
| ||