×

Wave fronts of ultradistributions via Fourier series coefficients. (English) Zbl 1353.35012

Summary: We shall use the properties of the product of periodic ultradistributions and give a new description of the wave front of an ultradistribution \(f\in \mathcal{D}^{\ast\prime}(\mathbb{R}^d)\) in terms of Fourier series coefficients.

MSC:

35A18 Wave front sets in context of PDEs
46F30 Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.)
46T30 Distributions and generalized functions on nonlinear spaces
PDFBibTeX XMLCite
Full Text: Link