Some directional microlocal classes defined using wavelet transforms
نویسنده
چکیده
In this short paper we discuss how the position scale half-space ofwavelet analysis may be cut into different regions. We discuss conditions under which they are independent in the sense that the Töplitz operators associated with their characteristic functions commute modulo smoothing operators. This shall be used to define microlocal classes of distributions having a well defined behavior along lines in wavelet space. This allows us the description of singular and regular directions in distributions. As an application we discuss elliptic regularity for these microlocal classes for domains with cusp-like singularities. Key-Words : wavelet transforms, micro local analysis, elliptic regularity Number of figures : 0 October 1995 CPT-95/P3248 anonymous ftp or gopher: cpt.univ-mrs.fr ∗ Unité Propre de Recherche 7061 e-mail: [email protected]
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