Localized spectral analysis on the sphere

By Mark A. Wieczorek, Frederik J. Simons. 2005

245 citations recorded by the source corpus.

Subfields: Applied Mathematics, Artificial Intelligence, Oceanography

View Paper: https://www.semanticscholar.org/paper/203cf5cbebe9659b4d20ffcbbac528ce55106d50

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Mark A. Wieczorek
2. Francis Anthony Dahlen
3. Frederik J. Simons
4. V. Belléguic
5. Philippe Lognonné
6. Jürgen Kusche

In Artificial Intelligence

1. Francis Anthony Dahlen
2. V. Belléguic
3. Philippe Lognonné
4. Mark A. Wieczorek
5. Frederik J. Simons
6. Maria T. Zuber
7. F. Nimmo

In Oceanography

1. Mark A. Wieczorek
2. Francis Anthony Dahlen
3. V. Belléguic
4. Philippe Lognonné
5. Frederik J. Simons
6. Maria T. Zuber
7. Shin‐Chan Han
8. David E. Smith

Citations in the corpus

• Spherical Slepian functions and the polar gap in geodesy (2005, methodology): “First, assembling the matrices of eqs (56) and (67) requires the calculation ofO(L2) matrix elements, by numerical integration or other means (Wieczorek & Simons 2005; Simons et al. 2006).”
• Source parameter inversion for recent great earthquakes from a decade‐long observation of global gravity fields (2013, background): “[34] The optimal spatial windowing function h(θ), often isotropic and band-limited, is found by maximizing its energy within a confined region of interest [Wieczorek and Simons, 2005].”
• Constraints on the Martian lithosphere from gravity and topography data and implication for volcanism and possible mantle heterogeneities (2005, methodology): “Figure 2. Spatial representation of the bandlimited window of Wieczorek and Simons [2004] (solid line) and the spectrally truncated spherical cap window of Simons et al. [1997] (dashed line) for a spatial diameter o=15 . For the first, Lwin=16, and the concentration factor is 98.8%.”
• GRAIL gravity constraints on the vertical and lateral density structure of the lunar crust (2014, methodology): “In particular, as we use gravity and topography fields up to degree ` = 660, the localized fields are reliable between degrees L and 660 − L [Simons et al., 1997; Wieczorek and Simons, 2005, 2007]: for L = 58, we fit effective densities in the degree range ` = 250− 550.”
• Spatiospectral Concentration on a Sphere (2004, unknown): “4) A simple analytical expression for this integral exists when m = 0 and l = l′ [76]; more generally, (5.”