On the representation of smooth functions on the sphere using finitely many bits

By Hrushikesh Narhar Mhaskar. 2005

48 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Mechanics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/3b07ef468734d231032b6c7c812ad8b5fa0c8d2b

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. Jürgen Prestin
2. Hrushikesh Narhar Mhaskar
3. Eugene Shvarts
4. Paul Nevai
5. Mauro Maggioni
6. Frank Filbir

In Computational Mechanics

1. Jürgen Prestin
2. Hrushikesh Narhar Mhaskar
3. Mauro Maggioni
4. Eugene Shvarts
5. Paul Nevai
6. Frank Filbir

In Numerical Analysis

1. Jürgen Prestin
2. Mauro Maggioni

Citations in the corpus

• Diffusion polynomial frames on metric measure spaces (2008, background): “In the context of classical trigonometric polynomial expansions, as well as other classical orthogonal expansions, the problem of constructing approximations localized in both the space and frequency domains, given the coefficients in such expansions, has been investigated a great deal in recent yea”
• Polynomial Frames: A Fast Tour (2004, methodology): “Although the results in [ 45 ] are not formulated in terms of the coecien ts of a tight frame, it is not dicult to modify the proof to include this case.”
• Applications of classical approximation theory to periodic basis function networks and computational harmonic analysis (2013, background): “A wavelet-like representation including local smoothness classes is given in [47].”