Mellin Analysis, Transform Theory, and Applications A Self-Contained Approach /
This monograph presents the theory of the Mellin transform and the resulting Mellin analysis in a rigorous and unified manner. Often dismissed as a subordinate topic within Fourier and Laplace transform, it is instead demonstrated here that the theory is completely independent, can be studied within...
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| Autors principals: | , , , |
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| Autor corporatiu: | |
| Format: | Electrònic eBook |
| Idioma: | anglès |
| Publicat: |
Cham :
Springer Nature Switzerland : Imprint: Birkhäuser,
2025.
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| Edició: | 1st ed. 2025. |
| Matèries: | |
| Accés en línia: | https://doi.org/10.1007/978-3-031-96672-9 |
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Taula de continguts:
- - 1. Preliminaries
- 2. Polar-Analytic Functions
- 3. The Foundation of Mellin Analysis
- 4. The Mellin Convolution
- 5. The Finite Mellin transform and the Mellin–Fourier Series
- 6. The Mellin Transform in Xc
- 7. The Mellin Transform in Spaces Xp/c for 1 < p ≤ 2
- 8. Mellin Bandlimited Functions and Paley–Wiener Theorems in Mellin Setting
- 9. Mellin Transforms and Fractional Analysis
- 10. The Mellin Distance
- 11. Mellin Transform Methods for Partial Differential Equations
- 12. Exponential Sampling Theory
- 13. Generalized Exponential Sampling Theory
- 14. Applications to Quadrature over the Positive Real Axis.