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.File in questo prodotto:
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