The Singular Values of the Logarithmic Potential Transform on Bound States Spaces of Landau Hamiltonians on the Poincaré Disk
In the present manuscript, we prove that the singular numbers of the Cauchy transform Lσfz=−1π∫Dfξξ−zlog1∣z−ξ∣1−ξξ¯σ−2dμξ (2) defined on the space L2,σD of complex-valued measurable functions, which are 1−ξξ¯σ−2dμξ-square integrable on D where σ>1 is a fixed parameter, are asymptotically ≈Ckm−4ν+...
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Capítulo de libro |
| Lenguaje: | inglés |
| Publicado: |
IntechOpen
2022
|
| Materias: | |
| Acceso en línea: | https://www.intechopen.com/chapters/85317 |
| Etiquetas: |
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
Ejemplares similares: The Singular Values of the Logarithmic Potential Transform on Bound States Spaces of Landau Hamiltonians on the Poincaré Disk
- Geometric organization of olfactory descriptor data in the Poincaré disk
- Error Bounds for Numerical Integration of Oscillatory Bessel Transforms with Algebraic or Logarithmic Singularities
- Explicit error bounds of the SE and DE formulas for integrals with logarithmic and algebraic singularity
- Transition-state-theory-based interpretation of Landau double well potential for ferroelectrics
- Convergent expansions and bounds for the incomplete elliptic integral of the second kind near the logarithmic singularity
- Bounded Poincaré operators for twisted and BGG complexes