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The ergodic theory of lattice subgroups [[electronic resource] /] / Alexander Gorodnik and Amos Nevo
The ergodic theory of lattice subgroups [[electronic resource] /] / Alexander Gorodnik and Amos Nevo
Autore Gorodnik Alexander <1975->
Edizione [Course Book]
Pubbl/distr/stampa Princeton, N.J., : Princeton University Press, 2009
Descrizione fisica 1 online resource (136 p.)
Disciplina 515/.48
Altri autori (Persone) NevoAmos <1966->
Collana Annals of mathematics studies
Soggetto topico Ergodic theory
Lie groups
Lattice theory
Harmonic analysis
Dynamics
Soggetto non controllato Absolute continuity
Algebraic group
Amenable group
Asymptote
Asymptotic analysis
Asymptotic expansion
Automorphism
Borel set
Bounded function
Bounded operator
Bounded set (topological vector space)
Congruence subgroup
Continuous function
Convergence of random variables
Convolution
Coset
Counting problem (complexity)
Counting
Differentiable function
Dimension (vector space)
Diophantine approximation
Direct integral
Direct product
Discrete group
Embedding
Equidistribution theorem
Ergodic theory
Ergodicity
Estimation
Explicit formulae (L-function)
Family of sets
Haar measure
Hilbert space
Hyperbolic space
Induced representation
Infimum and supremum
Initial condition
Interpolation theorem
Invariance principle (linguistics)
Invariant measure
Irreducible representation
Isometry group
Iwasawa group
Lattice (group)
Lie algebra
Linear algebraic group
Linear space (geometry)
Lipschitz continuity
Mass distribution
Mathematical induction
Maximal compact subgroup
Maximal ergodic theorem
Measure (mathematics)
Mellin transform
Metric space
Monotonic function
Neighbourhood (mathematics)
Normal subgroup
Number theory
One-parameter group
Operator norm
Orthogonal complement
P-adic number
Parametrization
Parity (mathematics)
Pointwise convergence
Pointwise
Principal homogeneous space
Principal series representation
Probability measure
Probability space
Probability
Rate of convergence
Regular representation
Representation theory
Resolution of singularities
Sobolev space
Special case
Spectral gap
Spectral method
Spectral theory
Square (algebra)
Subgroup
Subsequence
Subset
Symmetric space
Tensor algebra
Tensor product
Theorem
Transfer principle
Unit sphere
Unit vector
Unitary group
Unitary representation
Upper and lower bounds
Variable (mathematics)
Vector group
Vector space
Volume form
Word metric
ISBN 1-282-30380-5
9786612303807
1-4008-3106-7
Classificazione SI 830
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Preface -- Chapter One. Main results: Semisimple Lie groups case -- Chapter Two. Examples and applications -- Chapter Three. Definitions, preliminaries, and basic tools -- Chapter Four. Main results and an overview of the proofs -- Chapter Five. Proof of ergodic theorems for S-algebraic groups -- Chapter Six. Proof of ergodic theorems for lattice subgroups -- Chapter Seven. Volume estimates and volume regularity -- Chapter Eight. Comments and complements -- Bibliography -- Index
Record Nr. UNINA-9910781200803321
Gorodnik Alexander <1975->  
Princeton, N.J., : Princeton University Press, 2009
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Mathematical aspects of nonlinear dispersive equations [[electronic resource] /] / Jean Bourgain, Carlos E. Kenig, and S. Klainerman, editors
Mathematical aspects of nonlinear dispersive equations [[electronic resource] /] / Jean Bourgain, Carlos E. Kenig, and S. Klainerman, editors
Edizione [Course Book]
Pubbl/distr/stampa Princeton, : Princeton University Press, 2007
Descrizione fisica 1 online resource (309 p.)
Disciplina 515/.355
Altri autori (Persone) BourgainJean <1954->
KenigCarlos E. <1953->
KlainermanSergiu <1950->
Collana Annals of mathematics studies
Soggetto topico Differential equations, Nonlinear
Nonlinear partial differential operators
Soggetto non controllato Absolute value
Addition
Analysis
Analytical technique
Average
Commutator
Conservation law
Continuous spectrum
Critical focus
Eigenfunction
Eigenvalues and eigenvectors
Equation
Exponential decay
Fourier transform
Lecture
Manifold
Medium frequency
Nature
Navier–Stokes equations
Nonlinear system
Scattering theory
Sloan Fellowship
Spectral method
Subset
Support (mathematics)
Theory
Three-dimensional space (mathematics)
Volume
Wave equation
ISBN 1-282-12960-0
9786612129605
1-4008-2779-5
Classificazione SI 830
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Preface -- Chapter 1. On Strichartz's Inequalities and the Nonlinear Schrödinger Equation on Irrational Tori / Bourgain, J. -- Chapter 2. Diffusion Bound for a Nonlinear Schrödinger Equation / Bourgain, J. / Wang, W.-M. -- Chapter 3. Instability of Finite Difference Schemes for Hyperbolic Conservation Laws / Bressan, A. / Baiti, P. / Jenssen, H. K. -- Chapter 4. Nonlinear Elliptic Equations with Measures Revisited / Brezis, H. / Marcus, M. / Ponce, A. C. -- Chapter 5. Global Solutions for the Nonlinear Schrödinger Equation on Three-Dimensional Compact Manifolds / Burq, N. / Gérard, P. / Tzvetkov, N. -- Chapter 6. Power Series Solution of a Nonlinear Schrödinger Equation / Christ, M. -- Chapter 7. Eulerian-Lagrangian Formalism and Vortex Reconnection / Constantin, P. -- Chapter 8. Long Time Existence for Small Data Semilinear Klein-Gordon Equations on Spheres / Delort, J.-M. / Szeftel, J. -- Chapter 9. Local and Global Wellposedness of Periodic KP-I Equations / Ionescu, A. D. / Kenig, C. E. -- Chapter 10. The Cauchy Problem for the Navier-Stokes Equations with Spatially Almost Periodic Initial Data / Giga, Y. / Mahalov, A. / Nicolaenko, B. -- Chapter 11. Longtime Decay Estimates for the Schrödinger Equation on Manifolds / Rodnianski, I. / Tao, T. -- Contributors -- Index
Record Nr. UNINA-9910777728603321
Princeton, : Princeton University Press, 2007
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Wave scattering by time dependent perturbations [[electronic resource] ] : an introduction / / G.F. Roach
Wave scattering by time dependent perturbations [[electronic resource] ] : an introduction / / G.F. Roach
Autore Roach G. F (Gary Francis)
Edizione [Course Book]
Pubbl/distr/stampa Princeton, N.J., : Princeton University Press, 2007
Descrizione fisica 1 online resource (300 p.)
Disciplina 531/.1133
Collana Princeton series in applied mathematics
Soggetto topico Waves - Mathematics
Scattering (Physics) - Mathematics
Perturbation (Mathematics)
Soggetto non controllato Acoustic wave equation
Acoustic wave
Affine space
Angular frequency
Approximation
Asymptotic analysis
Asymptotic expansion
Banach space
Basis (linear algebra)
Bessel's inequality
Boundary value problem
Bounded operator
C0-semigroup
Calculation
Characteristic function (probability theory)
Classical physics
Codimension
Coefficient
Continuous function (set theory)
Continuous function
Continuous spectrum
Convolution
Differentiable function
Differential equation
Dimension (vector space)
Dimension
Dimensional analysis
Dirac delta function
Dirichlet problem
Distribution (mathematics)
Duhamel's principle
Eigenfunction
Eigenvalues and eigenvectors
Electromagnetism
Equation
Existential quantification
Exponential function
Floquet theory
Fourier inversion theorem
Fourier series
Fourier transform
Fredholm integral equation
Frequency domain
Helmholtz equation
Hilbert space
Initial value problem
Integral equation
Integral transform
Integration by parts
Inverse problem
Inverse scattering problem
Lebesgue measure
Linear differential equation
Linear map
Linear space (geometry)
Locally integrable function
Longitudinal wave
Mathematical analysis
Mathematical physics
Metric space
Operator theory
Ordinary differential equation
Orthonormal basis
Orthonormality
Parseval's theorem
Partial derivative
Partial differential equation
Phase velocity
Plane wave
Projection (linear algebra)
Propagator
Quantity
Quantum mechanics
Reflection coefficient
Requirement
Riesz representation theorem
Scalar (physics)
Scattering theory
Scattering
Scientific notation
Self-adjoint operator
Self-adjoint
Series expansion
Sine wave
Spectral method
Spectral theorem
Spectral theory
Square-integrable function
Subset
Theorem
Theory
Time domain
Time evolution
Unbounded operator
Unitarity (physics)
Vector space
Volterra integral equation
Wave function
Wave packet
Wave propagation
ISBN 1-282-15878-3
9786612158780
1-4008-2816-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Preface -- Chapter One. Introduction and Outline of Contents -- Chapter Two. Some Aspects of Waves on Strings -- Chapter Three. Mathematical Preliminaries -- Chapter Four. Spectral Theory and Spectral Decompositions -- Chapter Five. On Nonautonomous Problems -- Chapter Six. On Scattering Theory Strategies -- Chapter Seven. Echo Analysis -- Chapter Eight. Wave Scattering from Time-Periodic Perturbations -- Chapter Nine Concerning Inverse Problems -- Chapter Ten. Some Remarks on Scattering in Other Wave Systems -- Chapter Eleven. Commentaries and Appendices -- Bibliography -- Index
Record Nr. UNINA-9910778218403321
Roach G. F (Gary Francis)  
Princeton, N.J., : Princeton University Press, 2007
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui