Approximate formulae for certain prolate spheroidal wave functions valid for large values of both order and band-limit

By Vladimir Rokhlin, Hong Xiao. 2007

64 citations recorded by the source corpus.

Subfields: Applied Mathematics, Atomic and Molecular Physics, and Optics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/d14796b91d1f11f88ec38af459ef33d91c517675

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. João Pedro Morais
2. Kit Ian Kou
3. Mark Tygert
4. Yoel Shkolnisky
5. Vladimir Rokhlin
6. Jianyu Ou
7. Tao Qian

In Atomic and Molecular Physics, and Optics

1. Mark Tygert
2. Yoel Shkolnisky
3. Kit Ian Kou
4. Vladimir Rokhlin
5. Per-Gunnar Martinsson
6. David J. Biagioni

In Mathematical Physics

1. Mark Tygert
2. Yoel Shkolnisky
3. Vladimir Rokhlin

Citations in the corpus

• Approximation of bandlimited functions (2006, methodology): “4 Analysis similar to that mentioned in Section 5 of [4] yields the bound”
• Generalized prolate spheroidal wave functions for offset linear canonical transform in Clifford analysis (2013, background): “[11, 21, 22] and recent works in [2, 3, 13, 19, 20, 30, 31, 32] have shown that the PSWFs are optimal tools for approximating bandlimited functions.”