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Fourier analysis [[electronic resource] /] / Eric Stade
| Fourier analysis [[electronic resource] /] / Eric Stade |
| Autore | Stade Eric <1961-> |
| Pubbl/distr/stampa | Hoboken, N.J., : Wiley, c2005 |
| Descrizione fisica | 1 online resource (519 p.) |
| Disciplina |
515.2433
515/.2433 |
| Collana | Pure and applied mathematics |
| Soggetto topico |
Fourier analysis
Mathematical analysis |
| ISBN |
1-283-29486-9
9786613294869 1-118-16550-0 1-118-16551-9 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Fourier Analysis; Contents; Preface; Introduction; 1 Fourier Coefficients and Fourier Series; 1.1 Periodic Functions: Beginning Bits; 1.2 Fourier Coefficients of' 2π-Periodic Functions; 1.3 More on P = 2π; 1.4 Pointwise Convergence of Fourier Series: A Theorem; 1.5 An Application: Evaluation of Infinite Series; 1.6 Gibbs' Phenomenon; 1.7 Uniform Convergence of Fourier Series: A Theorem; 1.8 Derivatives, Antiderivatives, and Fourier Series; 1.9 Functions of Other Periods P > 0; 1.10 Amplitude, Phase, and Spectra; 1.11 Functions on Bounded Intervals: Standard Fourier Series
1.12 Other Fourier Series for Functions on Bounded Intervals2 Fourier Series and Boundary Value Problems; 2.1 Steady State Temperatures and ""the Fourier Method""; 2.2 Linear Operators, Homogeneous Equations, and Superposition; 2.3 Heat Flow in a Bar I: Neumann and Mixed Boundary Conditions; 2.4 Heat Flow in a Bar II: Other Boundary Conditions; 2.5 Cylindrical and Polar Coordinates; 2.6 Spherical Coordinates; 2.7 The Wave Equation I; 2.8 The Wave Equation II: Existence and Uniqueness of Solutions; 2.9 The Wave Equation III: Fourier Versus d'Alembert 2.10 The Wave Equation IV: Temporally Constant Inhomogeneity2.11 The Wave Equation V: Temporally Varying Inhomogeneity; 2.12 The Wave Equation VI: Drumming Up Some Interest; 2.13 Triple Fourier Series; 3 L2 Spaces: Optimal Contexts for Fourier Series; 3.1 The Mean Square Norm and the Inner Product on C(T); 3.2 The Vector Space L2(T); 3.3 More on L2(T); the Vector Space L1(T); 3.4 Norm Convergence of Fourier Series: A Theorem; 3.5 More on Integration; 3.6 Orthogonality, Orthonormality, and Fourier Series; 3.7 More on the Inner Product; 3.8 Orthonormal Bases for Product Domains 3.9 An Application: The Isoperimetric Problem3.10 What Is L2(T)?; 4 Sturm-Liouville Problems; 4.1 Definitions and Basic Properties; 4.2 Some Boundary Value Problems; 4.3 Bessel Functions I: Bessel's Equation of Order n; 4.4 Bessel Functions II: Fourier-Bessel Series; 4.5 Bessel Functions III: Boundary Value Problems; 4.6 Orthogonal Polynomials; 4.7 More on Legendre Polynomials; 5 Convolution and the Delta Function: A Splat and a Spike; 5.1 Convolution: What Is It?; 5.2 Convolution: When Is It Compactly Supported?; 5.3 Convolution: When Is It Bounded and Continuous? 5.4 Convolution: When Is It Differentiable?5.5 Convolution: An Example; 5.6 Convolution: When Is It In L1(R)? In L2(R) ?; 5.7 Approximate Identities and the Dirac Delta ""Function""; 6 Fourier Transforms and Fourier Integrals; 6.1 The Fourier Transform on L1(R): Basics; 6.2 More on the Fourier Transform on L1(R); 6.3 Low-Impact Fourier Transforms (Integration by Differentiation); 6.4 Fourier Inversion on FL1(R); 6.5 The Fourier Transform and Fourier Inversion on L2(R); 6.6 Fourier Inversion of Piecewise Smooth, Integrable Functions; 6.7 Fourier Cosine and Sine Transforms 6.8 Multivariable Fourier Transforms and Inversion |
| Record Nr. | UNINA-9910141052703321 |
Stade Eric <1961->
|
||
| Hoboken, N.J., : Wiley, c2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Fourier analysis [[electronic resource] /] / Eric Stade
| Fourier analysis [[electronic resource] /] / Eric Stade |
| Autore | Stade Eric <1961-> |
| Pubbl/distr/stampa | Hoboken, N.J., : Wiley, c2005 |
| Descrizione fisica | 1 online resource (519 p.) |
| Disciplina |
515.2433
515/.2433 |
| Collana | Pure and applied mathematics |
| Soggetto topico |
Fourier analysis
Mathematical analysis |
| ISBN |
1-283-29486-9
9786613294869 1-118-16550-0 1-118-16551-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Fourier Analysis; Contents; Preface; Introduction; 1 Fourier Coefficients and Fourier Series; 1.1 Periodic Functions: Beginning Bits; 1.2 Fourier Coefficients of' 2π-Periodic Functions; 1.3 More on P = 2π; 1.4 Pointwise Convergence of Fourier Series: A Theorem; 1.5 An Application: Evaluation of Infinite Series; 1.6 Gibbs' Phenomenon; 1.7 Uniform Convergence of Fourier Series: A Theorem; 1.8 Derivatives, Antiderivatives, and Fourier Series; 1.9 Functions of Other Periods P > 0; 1.10 Amplitude, Phase, and Spectra; 1.11 Functions on Bounded Intervals: Standard Fourier Series
1.12 Other Fourier Series for Functions on Bounded Intervals2 Fourier Series and Boundary Value Problems; 2.1 Steady State Temperatures and ""the Fourier Method""; 2.2 Linear Operators, Homogeneous Equations, and Superposition; 2.3 Heat Flow in a Bar I: Neumann and Mixed Boundary Conditions; 2.4 Heat Flow in a Bar II: Other Boundary Conditions; 2.5 Cylindrical and Polar Coordinates; 2.6 Spherical Coordinates; 2.7 The Wave Equation I; 2.8 The Wave Equation II: Existence and Uniqueness of Solutions; 2.9 The Wave Equation III: Fourier Versus d'Alembert 2.10 The Wave Equation IV: Temporally Constant Inhomogeneity2.11 The Wave Equation V: Temporally Varying Inhomogeneity; 2.12 The Wave Equation VI: Drumming Up Some Interest; 2.13 Triple Fourier Series; 3 L2 Spaces: Optimal Contexts for Fourier Series; 3.1 The Mean Square Norm and the Inner Product on C(T); 3.2 The Vector Space L2(T); 3.3 More on L2(T); the Vector Space L1(T); 3.4 Norm Convergence of Fourier Series: A Theorem; 3.5 More on Integration; 3.6 Orthogonality, Orthonormality, and Fourier Series; 3.7 More on the Inner Product; 3.8 Orthonormal Bases for Product Domains 3.9 An Application: The Isoperimetric Problem3.10 What Is L2(T)?; 4 Sturm-Liouville Problems; 4.1 Definitions and Basic Properties; 4.2 Some Boundary Value Problems; 4.3 Bessel Functions I: Bessel's Equation of Order n; 4.4 Bessel Functions II: Fourier-Bessel Series; 4.5 Bessel Functions III: Boundary Value Problems; 4.6 Orthogonal Polynomials; 4.7 More on Legendre Polynomials; 5 Convolution and the Delta Function: A Splat and a Spike; 5.1 Convolution: What Is It?; 5.2 Convolution: When Is It Compactly Supported?; 5.3 Convolution: When Is It Bounded and Continuous? 5.4 Convolution: When Is It Differentiable?5.5 Convolution: An Example; 5.6 Convolution: When Is It In L1(R)? In L2(R) ?; 5.7 Approximate Identities and the Dirac Delta ""Function""; 6 Fourier Transforms and Fourier Integrals; 6.1 The Fourier Transform on L1(R): Basics; 6.2 More on the Fourier Transform on L1(R); 6.3 Low-Impact Fourier Transforms (Integration by Differentiation); 6.4 Fourier Inversion on FL1(R); 6.5 The Fourier Transform and Fourier Inversion on L2(R); 6.6 Fourier Inversion of Piecewise Smooth, Integrable Functions; 6.7 Fourier Cosine and Sine Transforms 6.8 Multivariable Fourier Transforms and Inversion |
| Record Nr. | UNINA-9910829974403321 |
|
Stade Eric <1961->
|
||
| Hoboken, N.J., : Wiley, c2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Fourier analysis / / Eric Stade
| Fourier analysis / / Eric Stade |
| Autore | Stade Eric <1961-> |
| Pubbl/distr/stampa | Hoboken, N.J., : Wiley, c2005 |
| Descrizione fisica | 1 online resource (519 p.) |
| Disciplina |
515.2433
515/.2433 |
| Collana | Pure and applied mathematics |
| Soggetto topico |
Fourier analysis
Mathematical analysis |
| ISBN |
1-283-29486-9
9786613294869 1-118-16550-0 1-118-16551-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Fourier Analysis; Contents; Preface; Introduction; 1 Fourier Coefficients and Fourier Series; 1.1 Periodic Functions: Beginning Bits; 1.2 Fourier Coefficients of' 2π-Periodic Functions; 1.3 More on P = 2π; 1.4 Pointwise Convergence of Fourier Series: A Theorem; 1.5 An Application: Evaluation of Infinite Series; 1.6 Gibbs' Phenomenon; 1.7 Uniform Convergence of Fourier Series: A Theorem; 1.8 Derivatives, Antiderivatives, and Fourier Series; 1.9 Functions of Other Periods P > 0; 1.10 Amplitude, Phase, and Spectra; 1.11 Functions on Bounded Intervals: Standard Fourier Series
1.12 Other Fourier Series for Functions on Bounded Intervals2 Fourier Series and Boundary Value Problems; 2.1 Steady State Temperatures and ""the Fourier Method""; 2.2 Linear Operators, Homogeneous Equations, and Superposition; 2.3 Heat Flow in a Bar I: Neumann and Mixed Boundary Conditions; 2.4 Heat Flow in a Bar II: Other Boundary Conditions; 2.5 Cylindrical and Polar Coordinates; 2.6 Spherical Coordinates; 2.7 The Wave Equation I; 2.8 The Wave Equation II: Existence and Uniqueness of Solutions; 2.9 The Wave Equation III: Fourier Versus d'Alembert 2.10 The Wave Equation IV: Temporally Constant Inhomogeneity2.11 The Wave Equation V: Temporally Varying Inhomogeneity; 2.12 The Wave Equation VI: Drumming Up Some Interest; 2.13 Triple Fourier Series; 3 L2 Spaces: Optimal Contexts for Fourier Series; 3.1 The Mean Square Norm and the Inner Product on C(T); 3.2 The Vector Space L2(T); 3.3 More on L2(T); the Vector Space L1(T); 3.4 Norm Convergence of Fourier Series: A Theorem; 3.5 More on Integration; 3.6 Orthogonality, Orthonormality, and Fourier Series; 3.7 More on the Inner Product; 3.8 Orthonormal Bases for Product Domains 3.9 An Application: The Isoperimetric Problem3.10 What Is L2(T)?; 4 Sturm-Liouville Problems; 4.1 Definitions and Basic Properties; 4.2 Some Boundary Value Problems; 4.3 Bessel Functions I: Bessel's Equation of Order n; 4.4 Bessel Functions II: Fourier-Bessel Series; 4.5 Bessel Functions III: Boundary Value Problems; 4.6 Orthogonal Polynomials; 4.7 More on Legendre Polynomials; 5 Convolution and the Delta Function: A Splat and a Spike; 5.1 Convolution: What Is It?; 5.2 Convolution: When Is It Compactly Supported?; 5.3 Convolution: When Is It Bounded and Continuous? 5.4 Convolution: When Is It Differentiable?5.5 Convolution: An Example; 5.6 Convolution: When Is It In L1(R)? In L2(R) ?; 5.7 Approximate Identities and the Dirac Delta ""Function""; 6 Fourier Transforms and Fourier Integrals; 6.1 The Fourier Transform on L1(R): Basics; 6.2 More on the Fourier Transform on L1(R); 6.3 Low-Impact Fourier Transforms (Integration by Differentiation); 6.4 Fourier Inversion on FL1(R); 6.5 The Fourier Transform and Fourier Inversion on L2(R); 6.6 Fourier Inversion of Piecewise Smooth, Integrable Functions; 6.7 Fourier Cosine and Sine Transforms 6.8 Multivariable Fourier Transforms and Inversion |
| Record Nr. | UNINA-9910841575303321 |
|
Stade Eric <1961->
|
||
| Hoboken, N.J., : Wiley, c2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Fourier analysis of unbounded measures on locally compact Abelian groups / / Loren Argabright and Jesús Gil de Lamadrid
| Fourier analysis of unbounded measures on locally compact Abelian groups / / Loren Argabright and Jesús Gil de Lamadrid |
| Autore | Argabright Loren N. <1933-> |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 1974 |
| Descrizione fisica | 1 online resource (60 p.) |
| Disciplina | 515/.2433 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Fourier analysis
Measure theory Abelian groups Locally compact groups |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-9945-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Preface""; ""1. Preliminaries""; ""2. Transformable measures""; ""3. Poisson summation, inversion""; ""4. Positive definite measures""; ""5. The representation defined by a positive definite measure""; ""6. Measures on subgroups and quotient groups""; ""7. Epilogue""; ""Bibliography"" |
| Record Nr. | UNINA-9910479904203321 |
|
Argabright Loren N. <1933->
|
||
| Providence : , : American Mathematical Society, , 1974 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Fourier analysis of unbounded measures on locally compact Abelian groups / / Loren Argabright and Jesús Gil de Lamadrid
| Fourier analysis of unbounded measures on locally compact Abelian groups / / Loren Argabright and Jesús Gil de Lamadrid |
| Autore | Argabright Loren N. <1933-> |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 1974 |
| Descrizione fisica | 1 online resource (60 p.) |
| Disciplina | 515/.2433 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Fourier analysis
Measure theory Abelian groups Locally compact groups |
| ISBN | 0-8218-9945-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Preface""; ""1. Preliminaries""; ""2. Transformable measures""; ""3. Poisson summation, inversion""; ""4. Positive definite measures""; ""5. The representation defined by a positive definite measure""; ""6. Measures on subgroups and quotient groups""; ""7. Epilogue""; ""Bibliography"" |
| Record Nr. | UNINA-9910788615703321 |
|
Argabright Loren N. <1933->
|
||
| Providence : , : American Mathematical Society, , 1974 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Fourier analysis of unbounded measures on locally compact Abelian groups / / Loren Argabright and Jesús Gil de Lamadrid
| Fourier analysis of unbounded measures on locally compact Abelian groups / / Loren Argabright and Jesús Gil de Lamadrid |
| Autore | Argabright Loren N. <1933-> |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 1974 |
| Descrizione fisica | 1 online resource (60 p.) |
| Disciplina | 515/.2433 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Fourier analysis
Measure theory Abelian groups Locally compact groups |
| ISBN | 0-8218-9945-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Preface""; ""1. Preliminaries""; ""2. Transformable measures""; ""3. Poisson summation, inversion""; ""4. Positive definite measures""; ""5. The representation defined by a positive definite measure""; ""6. Measures on subgroups and quotient groups""; ""7. Epilogue""; ""Bibliography"" |
| Record Nr. | UNINA-9910828786703321 |
|
Argabright Loren N. <1933->
|
||
| Providence : , : American Mathematical Society, , 1974 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Fourier series in several variables with applications to partial differential equations / / Victor L. Shapiro
| Fourier series in several variables with applications to partial differential equations / / Victor L. Shapiro |
| Autore | Shapiro Victor L (Victor Lenard), <1924-2013> |
| Pubbl/distr/stampa | Boca Raton, Fla. : , : CRC Press, , 2011 |
| Descrizione fisica | 1 online resource (351 p.) |
| Disciplina | 515/.2433 |
| Collana | Chapman & Hall/CRC applied mathematics and nonlinear science series |
| Soggetto topico |
Fourier series
Functions of several real variables Differential equations, Partial |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-429-10755-2
1-4398-5428-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front Cover; Dedication; Contents; Preface; Chapter 1: Summability of Multiple Fourier Series; Chapter 2: Conjugate Multiple Fourier Series; Chapter 3: Uniqueness of Multiple Trigonometric Series; Chapter 4: Positive Definite Functions; Chapter 5: Nonlinear Partial Differential Equations; Chapter 6: The Stationary Navier-Stokes Equations; Appendix A: Integrals and Identities; Appendix B: Real Analysis; Appendix C: Harmonic and Subharmonic Functions; Bibliography |
| Record Nr. | UNINA-9910457943203321 |
|
Shapiro Victor L (Victor Lenard), <1924-2013>
|
||
| Boca Raton, Fla. : , : CRC Press, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Fourier series in several variables with applications to partial differential equations / / Victor L. Shapiro
| Fourier series in several variables with applications to partial differential equations / / Victor L. Shapiro |
| Autore | Shapiro Victor L (Victor Lenard), <1924, > |
| Pubbl/distr/stampa | Boca Raton, Fla. : , : CRC Press, , 2011 |
| Descrizione fisica | 1 online resource (351 p.) |
| Disciplina | 515/.2433 |
| Collana | Chapman & Hall/CRC applied mathematics and nonlinear science series |
| Soggetto topico |
Fourier series
Functions of several real variables Differential equations, Partial |
| ISBN |
0-429-10755-2
1-4398-5428-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front Cover; Dedication; Contents; Preface; Chapter 1: Summability of Multiple Fourier Series; Chapter 2: Conjugate Multiple Fourier Series; Chapter 3: Uniqueness of Multiple Trigonometric Series; Chapter 4: Positive Definite Functions; Chapter 5: Nonlinear Partial Differential Equations; Chapter 6: The Stationary Navier-Stokes Equations; Appendix A: Integrals and Identities; Appendix B: Real Analysis; Appendix C: Harmonic and Subharmonic Functions; Bibliography |
| Record Nr. | UNINA-9910781449403321 |
|
Shapiro Victor L (Victor Lenard), <1924, >
|
||
| Boca Raton, Fla. : , : CRC Press, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Fourier series in several variables with applications to partial differential equations / / Victor L. Shapiro
| Fourier series in several variables with applications to partial differential equations / / Victor L. Shapiro |
| Autore | Shapiro Victor L (Victor Lenard), <1924, > |
| Pubbl/distr/stampa | Boca Raton, Fla. : , : CRC Press, , 2011 |
| Descrizione fisica | 1 online resource (351 p.) |
| Disciplina | 515/.2433 |
| Collana | Chapman & Hall/CRC applied mathematics and nonlinear science series |
| Soggetto topico |
Fourier series
Functions of several real variables Differential equations, Partial |
| ISBN |
0-429-10755-2
1-4398-5428-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front Cover; Dedication; Contents; Preface; Chapter 1: Summability of Multiple Fourier Series; Chapter 2: Conjugate Multiple Fourier Series; Chapter 3: Uniqueness of Multiple Trigonometric Series; Chapter 4: Positive Definite Functions; Chapter 5: Nonlinear Partial Differential Equations; Chapter 6: The Stationary Navier-Stokes Equations; Appendix A: Integrals and Identities; Appendix B: Real Analysis; Appendix C: Harmonic and Subharmonic Functions; Bibliography |
| Record Nr. | UNINA-9910827455603321 |
|
Shapiro Victor L (Victor Lenard), <1924, >
|
||
| Boca Raton, Fla. : , : CRC Press, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Functional analysis, harmonic analysis, and image processing : a collection of papers in honor of Björn Jawerth / / Michael Cwikel, Mario Milman, editors
| Functional analysis, harmonic analysis, and image processing : a collection of papers in honor of Björn Jawerth / / Michael Cwikel, Mario Milman, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2017 |
| Descrizione fisica | 1 online resource (422 pages) : illustrations |
| Disciplina | 515/.2433 |
| Collana | Contemporary Mathematics |
| Soggetto topico |
Harmonic analysis
Fourier analysis Image processing |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-4166-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910480365803321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
