Aparajita Dasgupta, Man Wah Wong
Abstract
We prove the spectral invariance of SG pseudo-differential operators on L p ℝ n , 1<p<∞, by using the equivalence of ellipticity and Fredholmness of SG pseudo-differential operators on L p ℝ n , 1<p<∞. A key ingredient in the proof is the spectral invariance of SG pseudo-differential operators on L 2ℝ n .
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We prove the spectral invariance of SG pseudo-differential operators on L p ℝ n , 1<p<∞, by using the equivalence of ellipticity and Fredholmness of SG pseudo-differential operators on L p ℝ n , 1<p<∞. A key ingredient in the proof is the spectral invariance of SG pseudo-differential operators on L 2ℝ n .
Key concepts: Mathematics, Differential operator, Pure mathematics, Differential (mechanical device), Mathematical physics, Physics, Thermodynamics