On summability of N-fold Fourier integrals correspondingto pseudodifferential operators.
It is well known, that if N ≥ 3, then spherical partial sums of N-fold Fourier integrals (eigenfunction expansions of Laplace operator) of the characteristic function of the unit ball diverge at the origin. Note, here level surface of Laplace operator and the surface of discontinuity of the consider...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
2010
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/23265/1/On%20summability%20of%20N.pdf |