Smooth operators for the regular representation on homogeneous spaces

• Autorzy: Severino T. Melo
• Języki publikacji: EN

Abstrakty

EN

A necessary and sufficient condition for a bounded operator on $L^2(M)$, M a Riemannian compact homogeneous space, to be smooth under conjugation by the regular representation is given. It is shown that, if all formal 'Fourier multipliers with variable coefficients' are bounded, then they are also smooth. In particular, they are smooth if M is a rank-one symmetric space.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2000
• Tom: 142
• Numer: 2
• Strony: 149-157

Daty

wydano

2000

otrzymano

1999-09-13

Twórcy

autor

Severino T. Melo

• Instituto de Matemática e Estatí stica, Universidade de São Paulo, Caixa Postal 66281, São Paulo 05389-970, Brazil

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