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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 | ||
| ||
Hypoelliptic Laplacian and orbital integrals [[electronic resource] /] / Jean-Michel Bismut
| Hypoelliptic Laplacian and orbital integrals [[electronic resource] /] / Jean-Michel Bismut |
| Autore | Bismut Jean-Michel |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, 2011 |
| Descrizione fisica | 1 online resource (320 p.) |
| Disciplina | 515.7242 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Differential equations, Hypoelliptic
Laplacian operator Definite integrals Orbit method |
| Soggetto genere / forma | Electronic books. |
| Soggetto non controllato |
Bianchi identity
Brownian motion Casimir operator Clifford algebras Clifford variables Dirac operator Euclidean vector space Feynman-Kac formula Gaussian integral Gaussian type estimates Heisenberg algebras Kostant Leftschetz formula Littlewood-Paley decomposition Malliavin calculus Pontryagin maximum principle Selberg's trace formula Sobolev spaces Toponogov's theorem Witten complex action functional complexification conjugations convergence convexity de Rham complex displacement function distance function elliptic Laplacian elliptic orbital integrals fixed point formulas flat bundle general kernels general orbital integrals geodesic flow geodesics harmonic oscillator heat kernel heat kernels heat operators hypoelliptic Laplacian hypoelliptic deformation hypoelliptic heat kernel hypoelliptic heat kernels hypoelliptic operators hypoelliptic orbital integrals index formulas index theory infinite dimensional orbital integrals keat kernels local index theory locally symmetric space matrix part model operator nondegeneracy orbifolds orbital integrals parallel transport trivialization probabilistic construction pseudodistances quantitative estimates quartic term real vector space refined estimates rescaled heat kernel resolvents return map rough estimates scalar heat kernel scalar heat kernels scalar hypoelliptic Laplacian scalar hypoelliptic heat kernels scalar hypoelliptic operator scalar part semisimple orbital integrals smooth kernels standard elliptic heat kernel supertraces symmetric space symplectic vector space trace formula unbounded operators uniform bounds uniform estimates variational problems vector bundles wave equation wave kernel wave operator |
| ISBN |
1-283-16387-X
9786613163875 1-4008-4057-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Acknowledgments -- Introduction -- Chapter One. Clifford and Heisenberg algebras -- Chapter Two. The hypoelliptic Laplacian on X = G/K -- Chapter Three. The displacement function and the return map -- Chapter Four. Elliptic and hypoelliptic orbital integrals -- Chapter Five. Evaluation of supertraces for a model operator -- Chapter Six. A formula for semisimple orbital integrals -- Chapter Seven. An application to local index theory -- Chapter Eight. The case where [k (γ) ; p0] = 0 -- Chapter Nine. A proof of the main identity -- Chapter Ten. The action functional and the harmonic oscillator -- Chapter Eleven. The analysis of the hypoelliptic Laplacian -- Chapter Twelve. Rough estimates on the scalar heat kernel -- Chapter Thirteen. Refined estimates on the scalar heat kernel for bounded b -- Chapter Fourteen. The heat kernel qXb;t for bounded b -- Chapter Fifteen. The heat kernel qXb;t for b large -- Bibliography -- Subject Index -- Index of Notation |
| Record Nr. | UNINA-9910456831103321 |
|
Bismut Jean-Michel
|
||
| Princeton, : Princeton University Press, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Hypoelliptic Laplacian and orbital integrals [[electronic resource] /] / Jean-Michel Bismut
| Hypoelliptic Laplacian and orbital integrals [[electronic resource] /] / Jean-Michel Bismut |
| Autore | Bismut Jean-Michel |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, 2011 |
| Descrizione fisica | 1 online resource (320 p.) |
| Disciplina | 515.7242 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Differential equations, Hypoelliptic
Laplacian operator Definite integrals Orbit method |
| Soggetto non controllato |
Bianchi identity
Brownian motion Casimir operator Clifford algebras Clifford variables Dirac operator Euclidean vector space Feynman-Kac formula Gaussian integral Gaussian type estimates Heisenberg algebras Kostant Leftschetz formula Littlewood-Paley decomposition Malliavin calculus Pontryagin maximum principle Selberg's trace formula Sobolev spaces Toponogov's theorem Witten complex action functional complexification conjugations convergence convexity de Rham complex displacement function distance function elliptic Laplacian elliptic orbital integrals fixed point formulas flat bundle general kernels general orbital integrals geodesic flow geodesics harmonic oscillator heat kernel heat kernels heat operators hypoelliptic Laplacian hypoelliptic deformation hypoelliptic heat kernel hypoelliptic heat kernels hypoelliptic operators hypoelliptic orbital integrals index formulas index theory infinite dimensional orbital integrals keat kernels local index theory locally symmetric space matrix part model operator nondegeneracy orbifolds orbital integrals parallel transport trivialization probabilistic construction pseudodistances quantitative estimates quartic term real vector space refined estimates rescaled heat kernel resolvents return map rough estimates scalar heat kernel scalar heat kernels scalar hypoelliptic Laplacian scalar hypoelliptic heat kernels scalar hypoelliptic operator scalar part semisimple orbital integrals smooth kernels standard elliptic heat kernel supertraces symmetric space symplectic vector space trace formula unbounded operators uniform bounds uniform estimates variational problems vector bundles wave equation wave kernel wave operator |
| ISBN |
1-283-16387-X
9786613163875 1-4008-4057-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Acknowledgments -- Introduction -- Chapter One. Clifford and Heisenberg algebras -- Chapter Two. The hypoelliptic Laplacian on X = G/K -- Chapter Three. The displacement function and the return map -- Chapter Four. Elliptic and hypoelliptic orbital integrals -- Chapter Five. Evaluation of supertraces for a model operator -- Chapter Six. A formula for semisimple orbital integrals -- Chapter Seven. An application to local index theory -- Chapter Eight. The case where [k (γ) ; p0] = 0 -- Chapter Nine. A proof of the main identity -- Chapter Ten. The action functional and the harmonic oscillator -- Chapter Eleven. The analysis of the hypoelliptic Laplacian -- Chapter Twelve. Rough estimates on the scalar heat kernel -- Chapter Thirteen. Refined estimates on the scalar heat kernel for bounded b -- Chapter Fourteen. The heat kernel qXb;t for bounded b -- Chapter Fifteen. The heat kernel qXb;t for b large -- Bibliography -- Subject Index -- Index of Notation |
| Record Nr. | UNINA-9910781482503321 |
|
Bismut Jean-Michel
|
||
| Princeton, : Princeton University Press, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Hypoelliptic Laplacian and orbital integrals / / Jean-Michel Bismut
| Hypoelliptic Laplacian and orbital integrals / / Jean-Michel Bismut |
| Autore | Bismut Jean-Michel |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, 2011 |
| Descrizione fisica | 1 online resource (320 p.) |
| Disciplina | 515.7242 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Differential equations, Hypoelliptic
Laplacian operator Definite integrals Orbit method |
| Soggetto non controllato |
Bianchi identity
Brownian motion Casimir operator Clifford algebras Clifford variables Dirac operator Euclidean vector space Feynman-Kac formula Gaussian integral Gaussian type estimates Heisenberg algebras Kostant Leftschetz formula Littlewood-Paley decomposition Malliavin calculus Pontryagin maximum principle Selberg's trace formula Sobolev spaces Toponogov's theorem Witten complex action functional complexification conjugations convergence convexity de Rham complex displacement function distance function elliptic Laplacian elliptic orbital integrals fixed point formulas flat bundle general kernels general orbital integrals geodesic flow geodesics harmonic oscillator heat kernel heat kernels heat operators hypoelliptic Laplacian hypoelliptic deformation hypoelliptic heat kernel hypoelliptic heat kernels hypoelliptic operators hypoelliptic orbital integrals index formulas index theory infinite dimensional orbital integrals keat kernels local index theory locally symmetric space matrix part model operator nondegeneracy orbifolds orbital integrals parallel transport trivialization probabilistic construction pseudodistances quantitative estimates quartic term real vector space refined estimates rescaled heat kernel resolvents return map rough estimates scalar heat kernel scalar heat kernels scalar hypoelliptic Laplacian scalar hypoelliptic heat kernels scalar hypoelliptic operator scalar part semisimple orbital integrals smooth kernels standard elliptic heat kernel supertraces symmetric space symplectic vector space trace formula unbounded operators uniform bounds uniform estimates variational problems vector bundles wave equation wave kernel wave operator |
| ISBN |
1-283-16387-X
9786613163875 1-4008-4057-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Acknowledgments -- Introduction -- Chapter One. Clifford and Heisenberg algebras -- Chapter Two. The hypoelliptic Laplacian on X = G/K -- Chapter Three. The displacement function and the return map -- Chapter Four. Elliptic and hypoelliptic orbital integrals -- Chapter Five. Evaluation of supertraces for a model operator -- Chapter Six. A formula for semisimple orbital integrals -- Chapter Seven. An application to local index theory -- Chapter Eight. The case where [k (γ) ; p0] = 0 -- Chapter Nine. A proof of the main identity -- Chapter Ten. The action functional and the harmonic oscillator -- Chapter Eleven. The analysis of the hypoelliptic Laplacian -- Chapter Twelve. Rough estimates on the scalar heat kernel -- Chapter Thirteen. Refined estimates on the scalar heat kernel for bounded b -- Chapter Fourteen. The heat kernel qXb;t for bounded b -- Chapter Fifteen. The heat kernel qXb;t for b large -- Bibliography -- Subject Index -- Index of Notation |
| Record Nr. | UNINA-9910827349603321 |
|
Bismut Jean-Michel
|
||
| Princeton, : Princeton University Press, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||