On summability of N-fold Fourier integrals corresponding to 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: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Springer
2010
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| Online Access: | http://psasir.upm.edu.my/id/eprint/22885/1/On%20summability%20of%20N-fold%20Fourier%20integrals%20corresponding%20to%20pseudodifferential%20operators.pdf |