Given jointly hypoelliptic, formally self-adjoint, homogeneous, left-invariant differential operators L_1,..., L_n on a stratified group G, the associated kernel transform K is studied. In particular, the following properties are investigated: (RL) if K(m) is integrable, then m is continuous; (S) if K(m) is Schwartz, then m is Schwartz.

Spectral Multipliers on Stratified Groups

mattia calzi
2018

Abstract

Given jointly hypoelliptic, formally self-adjoint, homogeneous, left-invariant differential operators L_1,..., L_n on a stratified group G, the associated kernel transform K is studied. In particular, the following properties are investigated: (RL) if K(m) is integrable, then m is continuous; (S) if K(m) is Schwartz, then m is Schwartz.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/78884
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