Photo from academic.microsoft.com
Abstract Let G be a compact Hausdorff group and let H be a closed subgroup of G. We introduce pseudo-differential operators with symbols on the homogeneous space G / H… Click to show full abstract
Abstract Let G be a compact Hausdorff group and let H be a closed subgroup of G. We introduce pseudo-differential operators with symbols on the homogeneous space G / H {G/H} . We present a necessary and sufficient condition on symbols for which these operators are in the class of Hilbert–Schmidt operators. We also give a characterization of and a trace formula for the trace class pseudo-differential operators on the homogeneous space G / H {G/H} .
Keywords:
operators homogeneous;
homogeneous spaces;
spaces compact;
pseudo differential;
compact hausdorff;
differential operators
Journal Title: Forum Mathematicum
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Forum Mathematicum
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!