Asymptotics for Some Non-classical Conormal Distributions Whose Symbols Contain Negative Powers of

作者：Taylor Michael^*

来源：Journal of Fourier Analysis and Applications, 2018, 24(3): 780-829.

DOI：10.1007/s00041-017-9537-7

• Fourier series
• Fourier transform
• Conormal distribution
• Asymptotics
• Symbols
• Pseudodifferential operator

We examine distributions on whose Fourier coefficients are of the form , and variants. These distributions are smooth except at , and the nature of their singularities at turns out to be much more complex than those of their counterparts that involve positive powers of . We also study related Fourier transforms. We move from one dimension to higher dimensions, where a wider variety of phenomena arise, and more subtle analytical techniques are called for.

• 出版日期2018-6