Info
- Utilizzare la checkbox di selezione a fianco di ciascun documento per attivare le funzionalità di stampa, invio email, download nei formati disponibili del (i) record.
The Hilbert transform of Schwartz distributions and applications [[electronic resource] /] / J.N. Pandey
| The Hilbert transform of Schwartz distributions and applications [[electronic resource] /] / J.N. Pandey |
| Autore | Pandey J. N |
| Pubbl/distr/stampa | New York, : John Wiley, c1996 |
| Descrizione fisica | 1 online resource (284 p.) |
| Disciplina | 515.723 |
| Collana | Pure and applied mathematics |
| Soggetto topico |
Hilbert transform
Schwartz distributions |
| ISBN |
1-283-30618-2
9786613306180 1-118-03251-9 1-118-03075-3 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
The Hilbert Transform of Schwartz Distributions and Applications; CONTENTS; Preface; 1. Some Background; 1.1. Fourier Transforms and the Theory of Distributions; 1.2. Fourier Transforms of L2 Functions; 1.2.1. Fourier Transforms of Some Well-known Functions; 1.3. Convolution of Functions; 1.3.1. Differentiation of the Fourier Transform; 1.4. Theory of Distributions; 1.4.1. Topological Vector Spaces; 1.4.2. Locally Convex Spaces; 1.4.3. Schwartz Testing Function Space: Its Topology and Distributions; 1.4.4. The Calculus of Distribution; 1.4.5. Distributional Differentiation
1.5. Primitive of Distributions1.6. Characterization of Distributions of Compact Supports; 1.7. Convolution of Distributions; 1.8. The Direct Product of Distributions; 1.9. The Convolution of Functions; 1.10. Regularization of Distributions; 1.11. The Continuity of the Convolution Process; 1.12. Fourier Transforms and Tempered Distributions; 1.12.1. The Testing Function Space S(Rn); 1.13. The Space of Distributions of Slow Growth S'(Rn); 1.14. A Boundedness Property of Distributions of Slow Growth and Its Structure Formula; 1.15. A Characterization Formula for Tempered Distributions 1.16. Fourier Transform of Tempered Distributions1.17. Fourier Transform of Distributions in D'(Rn); Exercises; 2. The Riemann-Hilbert Problem; 2.1. Some Corollaries on Cauchy Integrals; 2.2. Riemann's Problem; 2.2.1. The Hilbert Problem; 2.2.2. Riemann-Hilbert Problem; 2.3. Carleman's Approach to Solving the Riemann-Hilbert Problem; 2.4. The Hilbert Inversion Formula for Periodic Functions; 2.5. The Hilbert Transform on the Real Line; 2.6. Finite Hilbert Transform as Applied to Aerofoil Theories; 2.7. The Riemann-Hilbert Problem Applied to Crack Problems 4.5. The Intrinsic Definition of the Space H(D) |
| Record Nr. | UNINA-9910139571503321 |
Pandey J. N
|
||
| New York, : John Wiley, c1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Hilbert transform of Schwartz distributions and applications [[electronic resource] /] / J.N. Pandey
| The Hilbert transform of Schwartz distributions and applications [[electronic resource] /] / J.N. Pandey |
| Autore | Pandey J. N |
| Pubbl/distr/stampa | New York, : John Wiley, c1996 |
| Descrizione fisica | 1 online resource (284 p.) |
| Disciplina | 515.723 |
| Collana | Pure and applied mathematics |
| Soggetto topico |
Hilbert transform
Schwartz distributions |
| ISBN |
1-283-30618-2
9786613306180 1-118-03251-9 1-118-03075-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
The Hilbert Transform of Schwartz Distributions and Applications; CONTENTS; Preface; 1. Some Background; 1.1. Fourier Transforms and the Theory of Distributions; 1.2. Fourier Transforms of L2 Functions; 1.2.1. Fourier Transforms of Some Well-known Functions; 1.3. Convolution of Functions; 1.3.1. Differentiation of the Fourier Transform; 1.4. Theory of Distributions; 1.4.1. Topological Vector Spaces; 1.4.2. Locally Convex Spaces; 1.4.3. Schwartz Testing Function Space: Its Topology and Distributions; 1.4.4. The Calculus of Distribution; 1.4.5. Distributional Differentiation
1.5. Primitive of Distributions1.6. Characterization of Distributions of Compact Supports; 1.7. Convolution of Distributions; 1.8. The Direct Product of Distributions; 1.9. The Convolution of Functions; 1.10. Regularization of Distributions; 1.11. The Continuity of the Convolution Process; 1.12. Fourier Transforms and Tempered Distributions; 1.12.1. The Testing Function Space S(Rn); 1.13. The Space of Distributions of Slow Growth S'(Rn); 1.14. A Boundedness Property of Distributions of Slow Growth and Its Structure Formula; 1.15. A Characterization Formula for Tempered Distributions 1.16. Fourier Transform of Tempered Distributions1.17. Fourier Transform of Distributions in D'(Rn); Exercises; 2. The Riemann-Hilbert Problem; 2.1. Some Corollaries on Cauchy Integrals; 2.2. Riemann's Problem; 2.2.1. The Hilbert Problem; 2.2.2. Riemann-Hilbert Problem; 2.3. Carleman's Approach to Solving the Riemann-Hilbert Problem; 2.4. The Hilbert Inversion Formula for Periodic Functions; 2.5. The Hilbert Transform on the Real Line; 2.6. Finite Hilbert Transform as Applied to Aerofoil Theories; 2.7. The Riemann-Hilbert Problem Applied to Crack Problems 4.5. The Intrinsic Definition of the Space H(D) |
| Record Nr. | UNINA-9910830726703321 |
|
Pandey J. N
|
||
| New York, : John Wiley, c1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Hilbert transform of Schwartz distributions and applications [[electronic resource] /] / J.N. Pandey
| The Hilbert transform of Schwartz distributions and applications [[electronic resource] /] / J.N. Pandey |
| Autore | Pandey J. N |
| Pubbl/distr/stampa | New York, : John Wiley, c1996 |
| Descrizione fisica | 1 online resource (284 p.) |
| Disciplina | 515.723 |
| Collana | Pure and applied mathematics |
| Soggetto topico |
Hilbert transform
Schwartz distributions |
| ISBN |
1-283-30618-2
9786613306180 1-118-03251-9 1-118-03075-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
The Hilbert Transform of Schwartz Distributions and Applications; CONTENTS; Preface; 1. Some Background; 1.1. Fourier Transforms and the Theory of Distributions; 1.2. Fourier Transforms of L2 Functions; 1.2.1. Fourier Transforms of Some Well-known Functions; 1.3. Convolution of Functions; 1.3.1. Differentiation of the Fourier Transform; 1.4. Theory of Distributions; 1.4.1. Topological Vector Spaces; 1.4.2. Locally Convex Spaces; 1.4.3. Schwartz Testing Function Space: Its Topology and Distributions; 1.4.4. The Calculus of Distribution; 1.4.5. Distributional Differentiation
1.5. Primitive of Distributions1.6. Characterization of Distributions of Compact Supports; 1.7. Convolution of Distributions; 1.8. The Direct Product of Distributions; 1.9. The Convolution of Functions; 1.10. Regularization of Distributions; 1.11. The Continuity of the Convolution Process; 1.12. Fourier Transforms and Tempered Distributions; 1.12.1. The Testing Function Space S(Rn); 1.13. The Space of Distributions of Slow Growth S'(Rn); 1.14. A Boundedness Property of Distributions of Slow Growth and Its Structure Formula; 1.15. A Characterization Formula for Tempered Distributions 1.16. Fourier Transform of Tempered Distributions1.17. Fourier Transform of Distributions in D'(Rn); Exercises; 2. The Riemann-Hilbert Problem; 2.1. Some Corollaries on Cauchy Integrals; 2.2. Riemann's Problem; 2.2.1. The Hilbert Problem; 2.2.2. Riemann-Hilbert Problem; 2.3. Carleman's Approach to Solving the Riemann-Hilbert Problem; 2.4. The Hilbert Inversion Formula for Periodic Functions; 2.5. The Hilbert Transform on the Real Line; 2.6. Finite Hilbert Transform as Applied to Aerofoil Theories; 2.7. The Riemann-Hilbert Problem Applied to Crack Problems 4.5. The Intrinsic Definition of the Space H(D) |
| Record Nr. | UNINA-9910841276103321 |
|
Pandey J. N
|
||
| New York, : John Wiley, c1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||