Beijing Lectures in Harmonic Analysis. (AM-112), Volume 112 / / Elias M. Stein |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (436 pages) : illustrations |
Disciplina | 515/.2433 |
Collana | Annals of Mathematics Studies |
Soggetto topico | Harmonic analysis |
Soggetto non controllato |
Analytic function
Asymptotic formula Bergman metric Bernhard Riemann Bessel function Biholomorphism Boundary value problem Bounded mean oscillation Bounded operator Boundedness Cauchy's integral formula Characteristic function (probability theory) Characterization (mathematics) Coefficient Commutator Complexification (Lie group) Continuous function Convolution Degeneracy (mathematics) Differential equation Differential operator Dirac delta function Dirichlet problem Equation Estimation Existence theorem Existential quantification Explicit formula Explicit formulae (L-function) Fatou's theorem Fourier analysis Fourier integral operator Fourier transform Fredholm theory Fubini's theorem Function (mathematics) Functional calculus Fundamental solution Gaussian curvature Hardy space Harmonic analysis Harmonic function Harmonic measure Heisenberg group Hilbert space Hilbert transform Hodge theory Holomorphic function Hyperbolic partial differential equation Hölder's inequality Infimum and supremum Integration by parts Interpolation theorem Intersection (set theory) Invertible matrix Isometry group Laplace operator Laplace's equation Lebesgue measure Linear map Lipschitz continuity Lipschitz domain Lp space Mathematical induction Mathematical physics Maximal function Maximum principle Measure (mathematics) Newtonian potential Non-Euclidean geometry Number theory Operator theory Oscillatory integral Parameter Partial derivative Partial differential equation Polynomial Power series Product metric Radon–Nikodym theorem Riemannian manifold Riesz representation theorem Scientific notation Several complex variables Sign (mathematics) Simultaneous equations Singular function Singular integral Sobolev space Square (algebra) Statistical hypothesis testing Stokes' theorem Support (mathematics) Tangent space Tensor product Theorem Trigonometric series Uniformization theorem Variable (mathematics) Vector field |
ISBN | 1-4008-8209-5 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- PREFACE -- NON-LINEAR HARMONIC ANALYSIS, OPERATOR THEORY AND P.D.E. / Coifman, R. R. / Meyer, Yves -- MULTIPARAMETER FOURIER ANALYSIS / Fefferman, Robert -- ELLIPTIC BOUNDARY VALUE PROBLEMS ON LIPSCHITZ DOMAINS / Kenig, Carlos E. -- INTEGRAL FORMULAS IN COMPLEX ANALYSIS / Krantz, Steven G. -- VECTOR FIELDS AND NONISOTROPIC METRICS / Nagel, Alexander -- OSCILLATORY INTEGRALS IN FOURIER ANALYSIS / Stein, E. M. -- AVERAGES AND SINGULAR INTEGRALS OVER LOWER DIMENSIONAL SETS / Wainge, Stephen -- INDEX -- Backmatter |
Record Nr. | UNINA-9910154749103321 |
Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Beyond partial differential equations : on linear and quasi-linear abstract hyperbolic evolution equations / Horst Reinhard Beyer |
Autore | Beyer, Horst R. |
Pubbl/distr/stampa | Berlin, : Springer, 2007 |
Descrizione fisica | XIV, 283 p. ; 24 cm |
Soggetto topico |
47J35 - Nonlinear evolution equations [MSC 2020]
47D06 - One-parameter semigroups and linear evolution equations [MSC 2020] 35L60 - First-order nonlinear hyperbolic equations [MSC 2020] 35L15 - Initial value problems for second-order hyperbolic equations [MSC 2020] 35L45 - Initial value problems for first-order hyperbolic systems [MSC 2020] |
Soggetto non controllato |
Abstract
Evolution equations Functional Analysis Hilbert Space Hyperbolic Hyperbolic partial differential equation Partial differential equations Quasi-linear |
ISBN | 978-35-407-1128-5 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Titolo uniforme | |
Record Nr. | UNICAMPANIA-VAN0059708 |
Beyer, Horst R.
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Berlin, : Springer, 2007 | ||
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Lo trovi qui: Univ. Vanvitelli | ||
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Beyond partial differential equations : on linear and quasi-linear abstract hyperbolic evolution equations / Horst Reinhard Beyer |
Autore | Beyer, Horst R. |
Pubbl/distr/stampa | Berlin, : Springer, 2007 |
Descrizione fisica | XIV, 283 p. ; 24 cm |
Soggetto topico |
35L15 - Initial value problems for second-order hyperbolic equations [MSC 2020]
35L45 - Initial value problems for first-order hyperbolic systems [MSC 2020] 35L60 - First-order nonlinear hyperbolic equations [MSC 2020] 47D06 - One-parameter semigroups and linear evolution equations [MSC 2020] 47J35 - Nonlinear evolution equations [MSC 2020] |
Soggetto non controllato |
Abstract
Evolution equations Functional Analysis Hilbert Space Hyperbolic Hyperbolic partial differential equation Partial Differential Equations Quasi-linear |
ISBN | 978-35-407-1128-5 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Titolo uniforme | |
Record Nr. | UNICAMPANIA-VAN00059708 |
Beyer, Horst R.
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Berlin, : Springer, 2007 | ||
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Lo trovi qui: Univ. Vanvitelli | ||
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Contributions to the Theory of Partial Differential Equations. (AM-33), Volume 33 / / Lipman Bers, Fritz John, Salomon Trust |
Autore | Bers Lipman |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (268 pages) |
Disciplina | 517.38 |
Collana | Annals of Mathematics Studies |
Soggetto topico | Differential equations, Partial |
Soggetto non controllato |
A priori estimate
Absolute value Adjoint equation Analytic continuation Analytic function Applied mathematics Axiom Bernhard Riemann Big O notation Bilinear form Boundary value problem Bounded set (topological vector space) Calculation Cauchy problem Cauchy sequence Cauchy–Riemann equations Closure (mathematics) Coefficient Conservation law Constant coefficients Continuous function Derivative Difference "ient Differentiable function Differential equation Differential form Differential operator Directional derivative Dirichlet boundary condition Dirichlet integral Dirichlet problem Eigenfunction Eigenvalues and eigenvectors Ellipse Elliptic operator Elliptic partial differential equation Equation Estimation Exact differential Existence theorem Existential quantification Exponential function Finite difference method Finite difference Function (mathematics) Fundamental solution Green's function Harmonic function Heat equation Hilbert space Hyperbolic partial differential equation Hölder's inequality Infinitesimal generator (stochastic processes) Initial value problem Integral equation Integration by parts Kronecker delta Lagrange polynomial Laplace's equation Limit (mathematics) Limit of a sequence Limit superior and limit inferior Linear differential equation Linear function Linear map Lipschitz continuity Mathematical proof Modulus of continuity Mollifier N-vector Nonlinear system Numerical analysis Operational calculus Ordinary differential equation Parametrix Parity (mathematics) Partial derivative Partial differential equation Pointwise Polynomial Quadratic form Quasiconformal mapping Riemann function Riemannian geometry Riemannian manifold Riemann–Liouville integral Self-adjoint operator Self-adjoint Sign (mathematics) Simultaneous equations Special case Spectral theory Subsequence Theorem Unit vector Upper and lower bounds Variable (mathematics) Variational principle Wave equation Weak solution |
ISBN | 1-4008-8218-4 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Foreword -- Contents -- I. Green's Formula and Analytic Continuation / Bochner, S. -- II. Strongly Elliptic Systems of Differential Equations / Browder, F. E. -- III. Derivatives of Solutions of Linear Elliptic Partial Differential Equations / John, F. -- IV. On Multivalued Solutions of Linear Partial Differential Equations / Bergman, S. -- V. Function-Theoretical Properties of Solutions of Partial Differential Equations of Elliptic Type / Bers, L. -- VI. On a Generalization of Quasi-Conformal Mappings and its Application to Elliptic Partial Differential Equations / Nirenberg, L. -- VII. Second Order Elliptic Systems of Differential Equations / Morrey, C. B. -- VIII. Conservation Laws of Certain Systems of Partial Differential Equations and Associated Mappings / Loewner, C. -- IX. Parabolic Equations / Lax, P. D. / Milgram, A. N. -- X. Linear Equations of Parabolic Type with Constant Coefficients / Rosenbloom, P. C. -- XI. On Linear Hyperbolic Differential Equations with Variable Coefficients on a Vector Space / Leray, J. -- XII. The Initial Value Problem for Nonlinear Hyperbolic Equations in Two Independent Variables / Lax, P. D. -- XIII. A Geometric Treatment of Linear Hyperbolic Equations of Second Order / Douglis, A. -- XIV. On Cauchy's Problem and Fundamental Solutions / Diaz, J. B. -- XV. A Boundary Value Problem for the Wave Equation and Mean Value Theorems / Protter, M. H. -- Backmatter |
Record Nr. | UNINA-9910154747003321 |
Bers Lipman
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Prospects in Mathematics. (AM-70), Volume 70 / / Friedrich Hirzebruch, Lars Hörmander, I. M. Singer, Jean-Pierre Serre, John Milnor |
Autore | Hirzebruch Friedrich |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (197 pages) |
Disciplina | 510 |
Collana | Annals of Mathematics Studies |
Soggetto topico | Mathematics |
Soggetto non controllato |
A priori estimate
Addition Additive group Affine space Algebraic geometry Algebraic group Atiyah–Singer index theorem Bernoulli number Boundary value problem Bounded operator C*-algebra Canonical transformation Cauchy problem Characteristic class Clifford algebra Coefficient Cohomology Commutative property Commutative ring Complex manifold Complex number Complex vector bundle Dedekind sum Degenerate bilinear form Diagram (category theory) Diffeomorphism Differentiable manifold Differential operator Dimension (vector space) Ellipse Elliptic operator Equation Euler characteristic Euler number Existence theorem Exotic sphere Finite difference Finite group Fourier integral operator Fourier transform Fourier Fredholm operator Hardy space Hilbert space Holomorphic vector bundle Homogeneous coordinates Homomorphism Homotopy Hyperbolic partial differential equation Identity component Integer Integral transform Isomorphism class John Milnor K-theory Lebesgue measure Line bundle Local ring Mathematics Maximal ideal Modular form Module (mathematics) Monoid Normal bundle Number theory Open set Parametrix Parity (mathematics) Partial differential equation Piecewise linear manifold Poisson bracket Polynomial ring Polynomial Prime number Principal part Projective space Pseudo-differential operator Quadratic form Rational variety Real number Reciprocity law Resolution of singularities Riemann–Roch theorem Shift operator Simply connected space Special case Square-integrable function Subalgebra Submanifold Support (mathematics) Surjective function Symmetric bilinear form Symplectic vector space Tangent space Theorem Topology Variable (mathematics) Vector bundle Vector space Winding number |
ISBN | 1-4008-8169-2 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- PREFACE -- CONTENTS -- THE SIGNATURE THEOREM: REMINISCENCES AND RECREATION / Hirzebruch, F. -- THE CALCULUS OF FOURIER INTEGRAL OPERATORS / Hormander, Lars -- SYMMETRIC INNER PRODUCTS IN CHARACTERISTIC 2 / Milnor, John -- COHOMOLOGIE DES GROUPES DISCRETS / Serre, Jean-Pierre -- FUTURE EXTENSIONS OF INDEX THEORY AND ELLIPTIC OPERATORS / Singer, I. M. |
Record Nr. | UNINA-9910154751003321 |
Hirzebruch Friedrich
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Scattering Theory for Automorphic Functions. (AM-87), Volume 87 / / Peter D. Lax, Ralph S. Phillips |
Autore | Lax Peter D. |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (313 pages) |
Disciplina | 515.9 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Automorphic functions
Scattering (Mathematics) |
Soggetto non controllato |
Absolute continuity
Algebra Analytic continuation Analytic function Annulus (mathematics) Asymptotic distribution Automorphic function Bilinear form Boundary (topology) Boundary value problem Bounded operator Calculation Cauchy sequence Change of variables Complex plane Conjugacy class Convolution Cusp neighborhood Cyclic group Derivative Differential equation Differential operator Dimension (vector space) Dimensional analysis Dirichlet integral Dirichlet series Eigenfunction Eigenvalues and eigenvectors Eisenstein series Elliptic operator Elliptic partial differential equation Equation Equivalence class Even and odd functions Existential quantification Explicit formula Explicit formulae (L-function) Exponential function Fourier transform Function space Functional analysis Functional calculus Fundamental domain Harmonic analysis Hilbert space Hyperbolic partial differential equation Infinitesimal generator (stochastic processes) Integral equation Integration by parts Invariant subspace Laplace operator Laplace transform Lebesgue measure Linear differential equation Linear space (geometry) Matrix (mathematics) Maximum principle Meromorphic function Modular group Neumann boundary condition Norm (mathematics) Null vector Number theory Operator theory Orthogonal complement Orthonormal basis Paley–Wiener theorem Partial differential equation Perturbation theory (quantum mechanics) Perturbation theory Primitive element (finite field) Principal component analysis Projection (linear algebra) Quadratic form Removable singularity Representation theorem Resolvent set Riemann hypothesis Riemann surface Riemann zeta function Riesz representation theorem Scatter matrix Scattering theory Schwarz reflection principle Selberg trace formula Self-adjoint Semigroup Sign (mathematics) Spectral theory Subgroup Subsequence Summation Support (mathematics) Theorem Trace class Trace formula Unitary operator Wave equation Weighted arithmetic mean Winding number |
ISBN | 1-4008-8156-0 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- PREFACE -- LIST OF SYMBOLS -- §1. INTRODUCTION -- §2. AN ABSTRACT SCATTERING THEORY -- §3. A MODIFIED THEORY FOR SECOND ORDER EQUATIONS WITH AN INDEFINITE ENERGY FORM -- §4. THE LAPLACE-BELTRAMI OPERATOR FOR THE MODULAR GROUP -- §5. THE AUTOMORPHIC WAVE EQUATIONS -- §6. INCOMING AND OUTGOING SUBSPACES FOR THE AUTOMORPHIC WAVE EQUATION -- §7. THE SCATTERING MATRIX FOR THE AUTOMORPHIC WAVE EQUATION -- §8. THE GENERAL CASE -- §9. THE SELBERG TRACE FORMULA -- REFERENCES -- INDEX -- Backmatter |
Record Nr. | UNINA-9910154746703321 |
Lax Peter D.
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Seminar on Singularities of Solutions of Linear Partial Differential Equations. (AM-91), Volume 91 / / Lars Hörmander |
Autore | Hörmander Lars |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (296 pages) : illustrations |
Disciplina | 515/.353 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Differential equations, Linear - Numerical solutions
Differential equations, Partial - Numerical solutions |
Soggetto non controllato |
A priori estimate
Adjoint equation Analytic continuation Analytic function Analytic manifold Asymptote Asymptotic analysis Asymptotic distribution Asymptotic expansion Asymptotic formula Big O notation Calculus on manifolds Canonical transformation Characteristic equation Characteristic function (probability theory) Codimension Cohomology Commutator Complex manifold Complex number Continuous function (set theory) Continuous function Covariant derivative Diffeomorphism Differential equation Differential operator Dirichlet problem Eigenfunction Eigenvalues and eigenvectors Elementary proof Elliptic boundary value problem Equation Equivalence class Equivalence relation Error term Existence theorem Existential quantification Exponential function Fourier integral operator Fourier inversion theorem Fourier transform Functional calculus Fundamental solution Hamiltonian vector field Hardy space Harmonic analysis Hermann Weyl Hermitian adjoint Hilbert space Holomorphic function Homogeneous function Hyperbolic partial differential equation Hyperfunction Hypersurface Inclusion map Inequality (mathematics) Integer lattice Integral transform Irreducible representation Lagrangian (field theory) Laplace operator Limit (mathematics) Linear map Local diffeomorphism Manifold Mathematical optimization Maximal torus Monotonic function Ordinary differential equation Oscillatory integral Partial differential equation Partition of unity Poisson bracket Poisson summation formula Polynomial Projection (linear algebra) Projective variety Pseudo-differential operator Regularity theorem Renormalization Riemann surface Riemannian manifold Riesz representation theorem Self-adjoint operator Self-adjoint Sign (mathematics) Special case Spectral theorem Spectral theory Summation Support (mathematics) Symplectic geometry Symplectic manifold Taylor series Theorem Toeplitz operator Trace class Trigonometric polynomial Unit disk Variable (mathematics) |
ISBN | 1-4008-8158-7 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface / Hörmander, Lars -- Spectral Analysis of Singularities / Hörmander, Lars -- Fourier Integral Operators with Complex Phase Functions / Sjöstrand, J. -- Hypoelliptic Operators with Double Characteristics / Menikoff, A. -- Differential Boundary Value Problems of Principal Type / Melrose, R. B. -- Propagation of Singularities for a Class of Operators with Double Characteristics / Hanges, Nicholas -- Subelliptic Operators / Hörmander, Lars -- Lacunas and Transmissions / Monvel, Louis Boutet de -- Some Classical Theorems in Spectral Theory Revisited / Guillemin, Victor -- Szegö's Theorem and a Complete Symbolic Calculus for Pseudo-Differential Operators / Widom, Harold -- Backmatter |
Record Nr. | UNINA-9910154745903321 |
Hörmander Lars
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Stable and Random Motions in Dynamical Systems : With Special Emphasis on Celestial Mechanics (AM-77) / / Jurgen Moser |
Autore | Moser Jurgen |
Edizione | [With a New foreword by Philip J. Holmes] |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (212 pages) : illustrations |
Disciplina | 521/.1 |
Collana | Princeton Landmarks in Mathematics and Physics |
Soggetto topico | Celestial mechanics |
Soggetto non controllato |
Accuracy and precision
Action-angle coordinates Analytic function Bounded variation Calculation Chaos theory Coefficient Commutator Constant term Continuous embedding Continuous function Coordinate system Countable set Degrees of freedom (statistics) Degrees of freedom Derivative Determinant Differentiable function Differential equation Dimension (vector space) Discrete group Divergent series Divisor Duffing equation Eigenfunction Eigenvalues and eigenvectors Elliptic orbit Energy level Equation Ergodic theory Ergodicity Euclidean space Even and odd functions Existence theorem Existential quantification First-order partial differential equation Forcing function (differential equations) Fréchet derivative Gravitational constant Hamiltonian mechanics Hamiltonian system Hessian matrix Heteroclinic orbit Homoclinic orbit Hyperbolic partial differential equation Hyperbolic set Initial value problem Integer Integrable system Integration by parts Invariant manifold Inverse function Invertible matrix Iteration Jordan curve theorem Klein bottle Lie algebra Linear map Linear subspace Linearization Maxima and minima Monotonic function Newton's method Nonlinear system Normal bundle Normal mode Open set Parameter Partial differential equation Periodic function Periodic point Perturbation theory (quantum mechanics) Phase space Poincaré conjecture Polynomial Probability theory Proportionality (mathematics) Quasiperiodic motion Rate of convergence Rational dependence Regular element Root of unity Series expansion Sign (mathematics) Smoothness Special case Stability theory Statistical mechanics Structural stability Symbolic dynamics Symmetric matrix Tangent space Theorem Three-body problem Uniqueness theorem Unitary matrix Variable (mathematics) Variational principle Vector field Zero of a function |
ISBN | 1-4008-8269-9 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- I. INTRODUCTION -- II. STABILITY PROBLEMS -- III. STATISTICAL BEHAVIOR -- V. FINAL REMARKS -- V. EXISTENCE PROOF IN THE PRESENCE OF SMALL DIVISORS -- VI. PROOFS AND DETAILS FOR CHAPTER III -- BOOKS AND SURVEY ARTICLES |
Record Nr. | UNINA-9910164944903321 |
Moser Jurgen
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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