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math.CA2008★ 6 cited
External Ellipsoidal Harmonics for the Dunkl-Laplacian
Hans Volkmer
The paper introduces external ellipsoidal and external sphero-conal -harmonics for the Dunkl-Laplacian. These external -harmonics admit integral representations, and they are…
math.CA2007★ 3 cited
A bilinear oscillatory integral along parabolas
Dashan Fan, Xiaochun Li
We establish an norm estimate for a bilinear oscillatory integral along parabolas incorporating oscillatory factors .
math.CA2006★ 8 cited
Generalized Ellipsoidal and Sphero-Conal Harmonics
Hans Volkmer
Classical ellipsoidal and sphero-conal harmonics are polynomial solutions of the Laplace equation that can be expressed in terms of Lame polynomials. Generalized ellipsoidal and sp…