Fourier Analysis and Approximation / One Dimensional Theory
Seiten
1971
Birkhäuser Verlag (Hersteller)
978-3-7643-0520-8 (ISBN)
Birkhäuser Verlag (Hersteller)
978-3-7643-0520-8 (ISBN)
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Aus dem Inhalt:
Preliminaries
Part I Approximination by Singular Integrals
1. Singular Integrals of Periodic Functions
2. Theorems of Jackson and Bernstein for Polynomials of Best Approximation
and for Singular Integrals
3. Singular Integrals on the Line Group
Part II Fourier Transforms
4. Finite Fourier Transforms
5. Fourier Transforms Associated with the Line Group
6. Representation Theorems
7. Fourier Transform Methods and Second-Order Partial Differential Equations
Part III Hilbert Transforms
8. Hilbert Transforms on the Real Line
9. Hilbert Transforms of the Periodic Functions
Part IV Characterization of the Certain Function Classes
10. Characterization in the Integral Case
11. Characterization in the Fractional Case
Part V Saturation Theory
12. Saturation for Singular Integrals...
Preliminaries
Part I Approximination by Singular Integrals
1. Singular Integrals of Periodic Functions
2. Theorems of Jackson and Bernstein for Polynomials of Best Approximation
and for Singular Integrals
3. Singular Integrals on the Line Group
Part II Fourier Transforms
4. Finite Fourier Transforms
5. Fourier Transforms Associated with the Line Group
6. Representation Theorems
7. Fourier Transform Methods and Second-Order Partial Differential Equations
Part III Hilbert Transforms
8. Hilbert Transforms on the Real Line
9. Hilbert Transforms of the Periodic Functions
Part IV Characterization of the Certain Function Classes
10. Characterization in the Integral Case
11. Characterization in the Fractional Case
Part V Saturation Theory
12. Saturation for Singular Integrals...
| Reihe/Serie | Lehrbücher und Monographien aus dem Gebiete der exakten Wissenschaften, Mathematische Reihe |
|---|---|
| Sprache | deutsch |
| Maße | 165 x 240 mm |
| Gewicht | 1142 g |
| Einbandart | Leinen |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Schlagworte | Approximation • Approximation / Näherung (Mathematik) • Fourier-Analysis |
| ISBN-10 | 3-7643-0520-7 / 3764305207 |
| ISBN-13 | 978-3-7643-0520-8 / 9783764305208 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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