Automorphic Forms on Adele Groups. (AM-83), Volume 83 / / Stephen S. Gelbart |
Autore | Gelbart Stephen S. |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (280 pages) |
Disciplina | 512/.22 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Representations of groups
Automorphic forms Linear algebraic groups Adeles |
Soggetto non controllato |
Abelian extension
Abelian group Absolute value Addition Additive group Algebraic group Algebraic number field Algebraic number theory Analytic continuation Analytic function Arbitrarily large Automorphic form Cartan subgroup Class field theory Complex space Congruence subgroup Conjugacy class Coprime integers Cusp form Differential equation Dimension (vector space) Direct integral Direct sum Division algebra Eigenfunction Eigenvalues and eigenvectors Eisenstein series Euler product Existential quantification Exponential function Factorization Finite field Formal power series Fourier series Fourier transform Fuchsian group Function (mathematics) Function space Functional equation Fundamental unit (number theory) Galois extension Global field Group algebra Group representation Haar measure Harish-Chandra Hecke L-function Hilbert space Homomorphism Induced representation Infinite product Inner automorphism Integer Invariant measure Invariant subspace Irreducible representation L-function Lie algebra Linear map Matrix coefficient Mellin transform Meromorphic function Modular form P-adic number Poisson summation formula Prime ideal Prime number Principal series representation Projective representation Quadratic field Quadratic form Quaternion algebra Quaternion Real number Regular representation Representation theory Ring (mathematics) Ring of integers Scientific notation Selberg trace formula Simple algebra Square-integrable function Sub"ient Subgroup Summation Theorem Theory Theta function Topological group Topology Trace formula Trivial representation Uniqueness theorem Unitary operator Unitary representation Universal enveloping algebra Upper half-plane Variable (mathematics) Vector space Weil group |
ISBN | 1-4008-8161-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- PREFACE -- CONTENTS -- §1. THE CLASSICAL THEORY -- §2. AUTOMORPHIC FORMS AND THE DECOMPOSITION OF L2(ΓSL(2,ℝ)) -- §3. AUTOMORPHIC FORMS AS FUNCTIONS ON THE ADELE GROUP OF GL(2) -- §4. THE REPRESENTATIONS OF GL(2) OVER LOCAL AND GLOBAL FIELDS -- §5 . CUSP FORMS AND REPRESENTATIONS OF THE ADELE GROUP OF GL(2) -- §6. HECKE THEORY FOR GL(2) -- §7 . THE CONSTRUCTION OF A SPECIAL CLASS OF AUTOMORPHIC FORMS -- § 8 . EISENSTEIN SERIES AND THE CONTINUOUS SPECTRUM -- §9. THE TRACE FORMULA FOR GL(2) -- §10. AUTOMORPHIC FORMS ON A QUATERNION ALGEBRA -- BIBLIOGRAPHY -- INDEX |
Record Nr. | UNINA-9910154753203321 |
Gelbart Stephen S. | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Chaotic transitions in deterministic and stochastic dynamical systems : applications of Melnikov processes in engineering, physics, and neuroscience / / Emil Simiu |
Autore | Simiu Emil |
Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 2002 |
Descrizione fisica | 1 online resource (244 p.) |
Disciplina | 515/.352 |
Collana | Princeton Series in Applied Mathematics |
Soggetto topico |
Differentiable dynamical systems
Chaotic behavior in systems Stochastic systems |
Soggetto non controllato |
Affine transformation
Amplitude Arbitrarily large Attractor Autocovariance Big O notation Central limit theorem Change of variables Chaos theory Coefficient of variation Compound Probability Computational problem Control theory Convolution Coriolis force Correlation coefficient Covariance function Cross-covariance Cumulative distribution function Cutoff frequency Deformation (mechanics) Derivative Deterministic system Diagram (category theory) Diffeomorphism Differential equation Dirac delta function Discriminant Dissipation Dissipative system Dynamical system Eigenvalues and eigenvectors Equations of motion Even and odd functions Excitation (magnetic) Exponential decay Extreme value theory Flow velocity Fluid dynamics Forcing (recursion theory) Fourier series Fourier transform Fractal dimension Frequency domain Gaussian noise Gaussian process Harmonic analysis Harmonic function Heteroclinic orbit Homeomorphism Homoclinic orbit Hyperbolic point Inference Initial condition Instability Integrable system Invariant manifold Iteration Joint probability distribution LTI system theory Limit cycle Linear differential equation Logistic map Marginal distribution Moduli (physics) Multiplicative noise Noise (electronics) Nonlinear control Nonlinear system Ornstein–Uhlenbeck process Oscillation Parameter space Parameter Partial differential equation Perturbation function Phase plane Phase space Poisson distribution Probability density function Probability distribution Probability theory Probability Production–possibility frontier Relative velocity Scale factor Shear stress Spectral density Spectral gap Standard deviation Stochastic process Stochastic resonance Stochastic Stream function Surface stress Symbolic dynamics The Signal and the Noise Topological conjugacy Transfer function Variance Vorticity |
ISBN |
0-691-05094-5
1-4008-3250-0 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- Preface -- Chapter 1. Introduction -- PART 1. FUNDAMENTALS -- Chapter 2. Transitions in Deterministic Systems and the Melnikov Function -- Chapter 3. Chaos in Deterministic Systems and the Melnikov Function -- Chapter 4. Stochastic Processes -- Chapter 5. Chaotic Transitions in Stochastic Dynamical Systems and the Melnikov Process -- PART 2. APPLICATIONS -- Chapter 6. Vessel Capsizing -- Chapter 7. Open-Loop Control of Escapes in Stochastically Excited Systems -- Chapter 8. Stochastic Resonance -- Chapter 9. Cutoff Frequency of Experimentally Generated Noise for a First-Order Dynamical System -- Chapter 10. Snap-Through of Transversely Excited Buckled Column -- Chapter 11. Wind-Induced Along-Shore Currents over a Corrugated Ocean Floor -- Chapter 12. The Auditory Nerve Fiber as a Chaotic Dynamical System -- Appendix A1 Derivation of Expression for the Melnikov Function -- Appendix A2 Construction of Phase Space Slice through Stable and Unstable Manifolds -- Appendix A3 Topological Conjugacy -- Appendix A4 Properties of Space ∑2 -- Appendix A5 Elements of Probability Theory -- Appendix A6 Mean Upcrossing Rate τu-1 for Gaussian Processes -- Appendix A7 Mean Escape Rate τ∊-1 for Systems Excited by White Noise -- References -- Index |
Record Nr. | UNINA-9910786748903321 |
Simiu Emil | ||
Princeton, New Jersey : , : Princeton University Press, , 2002 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Chaotic transitions in deterministic and stochastic dynamical systems : applications of Melnikov processes in engineering, physics, and neuroscience / / Emil Simiu |
Autore | Simiu Emil |
Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 2002 |
Descrizione fisica | 1 online resource (244 p.) |
Disciplina | 515/.352 |
Collana | Princeton Series in Applied Mathematics |
Soggetto topico |
Differentiable dynamical systems
Chaotic behavior in systems Stochastic systems |
Soggetto non controllato |
Affine transformation
Amplitude Arbitrarily large Attractor Autocovariance Big O notation Central limit theorem Change of variables Chaos theory Coefficient of variation Compound Probability Computational problem Control theory Convolution Coriolis force Correlation coefficient Covariance function Cross-covariance Cumulative distribution function Cutoff frequency Deformation (mechanics) Derivative Deterministic system Diagram (category theory) Diffeomorphism Differential equation Dirac delta function Discriminant Dissipation Dissipative system Dynamical system Eigenvalues and eigenvectors Equations of motion Even and odd functions Excitation (magnetic) Exponential decay Extreme value theory Flow velocity Fluid dynamics Forcing (recursion theory) Fourier series Fourier transform Fractal dimension Frequency domain Gaussian noise Gaussian process Harmonic analysis Harmonic function Heteroclinic orbit Homeomorphism Homoclinic orbit Hyperbolic point Inference Initial condition Instability Integrable system Invariant manifold Iteration Joint probability distribution LTI system theory Limit cycle Linear differential equation Logistic map Marginal distribution Moduli (physics) Multiplicative noise Noise (electronics) Nonlinear control Nonlinear system Ornstein–Uhlenbeck process Oscillation Parameter space Parameter Partial differential equation Perturbation function Phase plane Phase space Poisson distribution Probability density function Probability distribution Probability theory Probability Production–possibility frontier Relative velocity Scale factor Shear stress Spectral density Spectral gap Standard deviation Stochastic process Stochastic resonance Stochastic Stream function Surface stress Symbolic dynamics The Signal and the Noise Topological conjugacy Transfer function Variance Vorticity |
ISBN |
0-691-05094-5
1-4008-3250-0 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- Preface -- Chapter 1. Introduction -- PART 1. FUNDAMENTALS -- Chapter 2. Transitions in Deterministic Systems and the Melnikov Function -- Chapter 3. Chaos in Deterministic Systems and the Melnikov Function -- Chapter 4. Stochastic Processes -- Chapter 5. Chaotic Transitions in Stochastic Dynamical Systems and the Melnikov Process -- PART 2. APPLICATIONS -- Chapter 6. Vessel Capsizing -- Chapter 7. Open-Loop Control of Escapes in Stochastically Excited Systems -- Chapter 8. Stochastic Resonance -- Chapter 9. Cutoff Frequency of Experimentally Generated Noise for a First-Order Dynamical System -- Chapter 10. Snap-Through of Transversely Excited Buckled Column -- Chapter 11. Wind-Induced Along-Shore Currents over a Corrugated Ocean Floor -- Chapter 12. The Auditory Nerve Fiber as a Chaotic Dynamical System -- Appendix A1 Derivation of Expression for the Melnikov Function -- Appendix A2 Construction of Phase Space Slice through Stable and Unstable Manifolds -- Appendix A3 Topological Conjugacy -- Appendix A4 Properties of Space ∑2 -- Appendix A5 Elements of Probability Theory -- Appendix A6 Mean Upcrossing Rate τu-1 for Gaussian Processes -- Appendix A7 Mean Escape Rate τ∊-1 for Systems Excited by White Noise -- References -- Index |
Record Nr. | UNINA-9910827211303321 |
Simiu Emil | ||
Princeton, New Jersey : , : Princeton University Press, , 2002 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Control theoretic splines [[electronic resource] ] : optimal control, statistics, and path planning / / Magnus Egerstedt and Clyde Martin |
Autore | Egerstedt Magnus |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, : Princeton University Press, c2010 |
Descrizione fisica | 1 online resource (227 p.) |
Disciplina | 511/.42 |
Altri autori (Persone) | MartinClyde |
Collana | Princeton series in applied mathematics |
Soggetto topico |
Interpolation
Smoothing (Numerical analysis) Smoothing (Statistics) Curve fitting Splines Spline theory |
Soggetto non controllato |
Accuracy and precision
Affine space Affine variety Algorithm Approximation Arbitrarily large B-spline Banach space Bernstein polynomial Bifurcation theory Big O notation Birkhoff interpolation Boundary value problem Bézier curve Chaos theory Computation Computational problem Condition number Constrained optimization Continuous function (set theory) Continuous function Control function (econometrics) Control theory Controllability Convex optimization Convolution Cubic Hermite spline Data set Derivative Differentiable function Differential equation Dimension (vector space) Directional derivative Discrete mathematics Dynamic programming Equation Estimation Filtering problem (stochastic processes) Gaussian quadrature Gradient descent Gramian matrix Growth curve (statistics) Hermite interpolation Hermite polynomials Hilbert projection theorem Hilbert space Initial condition Initial value problem Integral equation Iterative method Karush–Kuhn–Tucker conditions Kernel method Lagrange polynomial Law of large numbers Least squares Linear algebra Linear combination Linear filter Linear map Mathematical optimization Mathematics Maxima and minima Monotonic function Nonlinear programming Nonlinear system Normal distribution Numerical analysis Numerical stability Optimal control Optimization problem Ordinary differential equation Orthogonal polynomials Parameter Piecewise Pointwise Polynomial interpolation Polynomial Probability distribution Quadratic programming Random variable Rate of convergence Ratio test Riccati equation Simpson's rule Simultaneous equations Smoothing spline Smoothing Smoothness Special case Spline (mathematics) Spline interpolation Statistic Stochastic calculus Stochastic Telemetry Theorem Trapezoidal rule Waypoint Weight function Without loss of generality |
ISBN |
1-282-45796-9
1-282-93606-9 9786612936067 9786612457968 1-4008-3387-6 |
Classificazione | SK 880 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. Introduction -- Chapter Two. Control Systems and Minimum Norm Problems -- Chapter Three. Eight Fundamental Problems -- Chapter Four. Smoothing Splines and Generalizations -- Chapter Five. Approximations and Limiting Concepts -- Chapter Six. Smoothing Splines with Continuous Data -- Chapter Seven. Monotone Smoothing Splines -- Chapter Eight. Smoothing Splines as Integral Filters -- Chapter Nine. Optimal Transfer between Affine Varieties -- Chapter Ten. Path Planning and Telemetry -- Chapter Eleven. Node Selection -- Bibliography -- Index |
Record Nr. | UNINA-9910780863803321 |
Egerstedt Magnus | ||
Princeton, : Princeton University Press, c2010 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Degree of Approximation by Polynomials in the Complex Domain. (AM-9), Volume 9 / / Walter Edwin Sewell |
Autore | Sewell Walter Edwin |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (252 pages) |
Disciplina | 512.22 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Approximation theory
Polynomials |
Soggetto non controllato |
0B
Addition Antiderivative Approximation Arbitrarily large Arc (geometry) Arc length Big O notation Bijection Bounded set (topological vector space) Branch point Circumference Coefficient Complex analysis Complex number Conformal map Connected space Constant of integration Continuous function Covering space Derivative Difference "ient Differentiable function Dimension Elementary proof Equation Even and odd functions Existence theorem Existential quantification Exterior (topology) Floor and ceiling functions Fourier series Function of a real variable Geometry Green's function Harmonic function Harmonic polynomial Infimum and supremum Infinitesimal Integer Isolated point Isolated singularity Iterative method Jordan curve theorem Least squares Lebesgue integration Lemniscate Limit (mathematics) Line integral Line segment Lipschitz continuity Logarithm Mathematician Modulus of continuity Natural number Notation Open problem Orthogonal polynomials Partial derivative Periodic function Point at infinity Polynomial Rational function Real variable Rectangle Requirement Riemann sum Root of unity Second derivative Set theory Sign (mathematics) Simply connected space Special case Suggestion Summation Surface integral Taylor series Theorem Theory Trigonometric functions Trigonometry Uniform convergence Unit circle Upper and lower bounds Variable (mathematics) Weight function |
ISBN | 1-4008-8221-4 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Preface -- Contents -- Chapter I. Preliminaries -- Part I. Problem α -- Chapter II. Polynomial Inequalities -- Chapter III. Tchebycheff Approximation -- Chapter IV. Approximation Measured by a Line Integral -- Part II. Problem β -- Chapter V. Preliminaries -- Chapter VI. Tchebycheff Approximation -- Chapter VII. Approximation Measured by a Line Integral -- Chapter VIII. Special Configurations -- Bibliography |
Record Nr. | UNINA-9910154748503321 |
Sewell Walter Edwin | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Impulsive and hybrid dynamical systems : stability, dissipativity, and control / / Wassim M. Haddad, VijaySekhar Chellaboina, Sergey G. Nersesov |
Autore | Haddad Wassim M. <1961-> |
Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2006 |
Descrizione fisica | 1 online resource (522 p.) |
Disciplina | 003/.85 |
Collana | Princeton Series in Applied Mathematics |
Soggetto topico |
Automatic control
Control theory Dynamics Discrete-time systems |
Soggetto non controllato |
Actuator
Adaptive control Algorithm Amplitude Analog computer Arbitrarily large Asymptote Asymptotic analysis Axiom Balance equation Bode plot Boundedness Calculation Center of mass (relativistic) Coefficient of restitution Continuous function Control theory Convex set Differentiable function Differential equation Dissipation Dissipative system Dynamical system Dynamical systems theory Energy Equations of motion Equilibrium point Escapement Euler–Lagrange equation Exponential stability Forms of energy Hamiltonian mechanics Hamiltonian system Hermitian matrix Hooke's law Hybrid system Identity matrix Inequality (mathematics) Infimum and supremum Initial condition Instability Interconnection Invariance theorem Isolated system Iterative method Jacobian matrix and determinant Lagrangian (field theory) Lagrangian system Lagrangian Likelihood-ratio test Limit cycle Limit set Linear function Linearization Lipschitz continuity Lyapunov function Lyapunov stability Mass balance Mathematical optimization Melting Mixture Moment of inertia Momentum Monotonic function Negative feedback Nonlinear programming Nonlinear system Nonnegative matrix Optimal control Ordinary differential equation Orthant Parameter Partial differential equation Passive dynamics Poincaré conjecture Potential energy Proof mass Quantity Rate function Requirement Robust control Second law of thermodynamics Semi-infinite Small-gain theorem Special case Spectral radius Stability theory State space Stiffness Supply (economics) Telecommunication Theorem Transpose Uncertainty Uniform boundedness Uniqueness Vector field Vibration Zeroth (software) Zeroth law of thermodynamics |
ISBN | 1-4008-6524-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- Preface -- Chapter One. Introduction -- Chapter Two. Stability Theory for Nonlinear Impulsive Dynamical Systems -- Chapter Three. Dissipativity Theory for Nonlinear Impulsive Dynamical Systems -- Chapter Four. Impulsive Nonnegative and Compartmental Dynamical Systems -- Chapter Five. Vector Dissipativity Theory for Large-Scale Impulsive Dynamical Systems -- Chapter Six. Stability and Feedback Interconnections of Dissipative Impulsive Dynamical Systems -- Chapter Seven. Energy-Based Control for Impulsive Port-Controlled Hamiltonian Systems -- Chapter Nine. Optimal Control for Impulsive Dynamical Systems -- Chapter Ten. Disturbance Rejection Control for Nonlinear Impulsive Dynamical Systems -- Chapter Eleven. Robust Control for Nonlinear Uncertain Impulsive Dynamical Systems -- Chapter Twelve. Hybrid Dynamical Systems -- Chapter Thirteen. Poincare Maps and Stability of Periodic Orbits for Hybrid Dynamical Systems -- Appendix A. System Functions for the Clock Escapement Mechanism -- Bibliography -- Index |
Record Nr. | UNINA-9910786749303321 |
Haddad Wassim M. <1961-> | ||
Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2006 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Impulsive and hybrid dynamical systems : stability, dissipativity, and control / / Wassim M. Haddad, VijaySekhar Chellaboina, Sergey G. Nersesov |
Autore | Haddad Wassim M. <1961-> |
Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2006 |
Descrizione fisica | 1 online resource (522 p.) |
Disciplina | 003/.85 |
Collana | Princeton Series in Applied Mathematics |
Soggetto topico |
Automatic control
Control theory Dynamics Discrete-time systems |
Soggetto non controllato |
Actuator
Adaptive control Algorithm Amplitude Analog computer Arbitrarily large Asymptote Asymptotic analysis Axiom Balance equation Bode plot Boundedness Calculation Center of mass (relativistic) Coefficient of restitution Continuous function Control theory Convex set Differentiable function Differential equation Dissipation Dissipative system Dynamical system Dynamical systems theory Energy Equations of motion Equilibrium point Escapement Euler–Lagrange equation Exponential stability Forms of energy Hamiltonian mechanics Hamiltonian system Hermitian matrix Hooke's law Hybrid system Identity matrix Inequality (mathematics) Infimum and supremum Initial condition Instability Interconnection Invariance theorem Isolated system Iterative method Jacobian matrix and determinant Lagrangian (field theory) Lagrangian system Lagrangian Likelihood-ratio test Limit cycle Limit set Linear function Linearization Lipschitz continuity Lyapunov function Lyapunov stability Mass balance Mathematical optimization Melting Mixture Moment of inertia Momentum Monotonic function Negative feedback Nonlinear programming Nonlinear system Nonnegative matrix Optimal control Ordinary differential equation Orthant Parameter Partial differential equation Passive dynamics Poincaré conjecture Potential energy Proof mass Quantity Rate function Requirement Robust control Second law of thermodynamics Semi-infinite Small-gain theorem Special case Spectral radius Stability theory State space Stiffness Supply (economics) Telecommunication Theorem Transpose Uncertainty Uniform boundedness Uniqueness Vector field Vibration Zeroth (software) Zeroth law of thermodynamics |
ISBN | 1-4008-6524-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- Preface -- Chapter One. Introduction -- Chapter Two. Stability Theory for Nonlinear Impulsive Dynamical Systems -- Chapter Three. Dissipativity Theory for Nonlinear Impulsive Dynamical Systems -- Chapter Four. Impulsive Nonnegative and Compartmental Dynamical Systems -- Chapter Five. Vector Dissipativity Theory for Large-Scale Impulsive Dynamical Systems -- Chapter Six. Stability and Feedback Interconnections of Dissipative Impulsive Dynamical Systems -- Chapter Seven. Energy-Based Control for Impulsive Port-Controlled Hamiltonian Systems -- Chapter Nine. Optimal Control for Impulsive Dynamical Systems -- Chapter Ten. Disturbance Rejection Control for Nonlinear Impulsive Dynamical Systems -- Chapter Eleven. Robust Control for Nonlinear Uncertain Impulsive Dynamical Systems -- Chapter Twelve. Hybrid Dynamical Systems -- Chapter Thirteen. Poincare Maps and Stability of Periodic Orbits for Hybrid Dynamical Systems -- Appendix A. System Functions for the Clock Escapement Mechanism -- Bibliography -- Index |
Record Nr. | UNINA-9910812330303321 |
Haddad Wassim M. <1961-> | ||
Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2006 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Lectures on Fourier Integrals. (AM-42), Volume 42 / / Salomon Trust |
Autore | Trust Salomon |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (348 pages) |
Disciplina | 517.355 |
Altri autori (Persone) |
PollardHarry
TenenbaumMorris |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Fourier series
Integrals Harmonic analysis |
Soggetto non controllato |
Abscissa
Absolute value Absolutely integrable function Acta Mathematica Addition Additive function Affine transformation Almost periodic function Analytic function Antiderivative Arbitrarily large Arithmetic mean Augustin-Louis Cauchy Bernhard Riemann Bessel function Big O notation Borel set Boundary layer Boundary value problem Bounded function Bounded variation Calculation Cauchy principal value Characteristic function (probability theory) Coefficient Compact space Compactness theorem Complex number Continuous function Dense set Derivative Differentiable function Dirichlet series Distribution function Division by zero E. W. Hobson Eigenfunction Eigenvalues and eigenvectors Empty set Equation Existential quantification Exponential polynomial Exterior (topology) Fourier transform Function (mathematics) Functional equation Gamma function Generating function Harmonic function Initial point Integer Integral equation Interval (mathematics) Limit of a sequence Line (geometry) Linear combination Linear differential equation Mathematische Annalen Mean value theorem Monotonic function Null set Order of integration (calculus) Order of integration Order of magnitude Parameter Partial derivative Partial fraction decomposition Poisson formula Poisson summation formula Polar coordinate system Polynomial Power series Principal part Rapidity Rational function Rational number Real variable Remainder Requirement Set function Sign (mathematics) Smoothness Special case State function Step function Subsequence Summation Theorem Total variation Trigonometric integral Uniform convergence Uniqueness theorem Variable (mathematics) |
ISBN | 1-4008-8199-4 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- CONTENTS -- CHAPTER I. BASIC PROPERTIES OF TRIGONOMETRIC INTEGRALS -- CHAPTER II. REPRESENTATION - AND SUM FORMULAS -- CHAPTER III. THE FOURIER INTEGRAL THEOREM -- CHAPTER IV. STIELTJES INTEGRALS -- CHAPTER V. OPERATIONS WITH FUNCTIONS OF THE CLASS FO -- CHAPTER VI. GENERALIZED TRIGONOMETRIC INTEGRALS -- CHAPTER VII. ANALYTIC AND HARMONIC FUNCTIONS -- CHAPTER VIII. QUADRATIC INTEGRABILITV -- CHAPTER IX. FUNCTIONS OF SEVERAL VARIABLES -- APPENDIX -- REMARKS - QUOTATIONS -- MONOTONIC FUNCTIONS, STIELTJES INTEGRALS AND HARMONIC ANALYSIS -- SYMBOLS |
Record Nr. | UNINA-9910154749703321 |
Trust Salomon | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|