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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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui