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Spectral multipliers for a distinguished Laplacian on certain groups of exponential growth

100%

Cowling M., Giulini S., Hulanicki A., Mauceri G.

Studia Mathematica

1994

tom 111

nr 2

103-121

We prove that on Iwasawa AN groups coming from arbitrary semisimple Lie groups there is a Laplacian with a nonholomorphic functional calculus, not only for $L^1(AN),$ but also for $L^p(AN)$, where 1 < p < ∞. This yields a spectral multiplier theorem analogous to the ones known for sublaplacians on stratified groups.

Invariant operators on function spaces on homogeneous trees

100%

Cowling M., Meda S., Setti A. G.

Colloquium Mathematicum

1999

tom 80

nr 1

53-61

Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik

The Fourier-Stieltjes algebra of a semisimple group

74%

Cowling M.

Colloquium Mathematicum

1979

tom 41

nr 1

89-94

Ograniczanie wyników

2 Colloquium Mathematicum

1 Studia Mathematica

3 Cowling M.

1 Giulini S.

1 Hulanicki A.

1 Mauceri G.

1 Meda S.

1 Setti A. G.

1 1999

1 1994

1 1979

Wyniki wyszukiwania

Spectral multipliers for a distinguished Laplacian on certain groups of exponential growth

Invariant operators on function spaces on homogeneous trees

The Fourier-Stieltjes algebra of a semisimple group