Results 11 to 20 of about 2,194,014 (300)
The total symbol of a pseudo-differential operator
Proceedings of the American Mathematical Society, 1971 This note presents a direct completely coordinate-free proof that the symbols of a pseudo-differential operator are differential operators whose coefficients are functions on the higher order cotangent bundles.
Bent E. Petersen
openaire +3 more sources
On a digital approximation for pseudo‐differential operators [PDF]
PAMM, 2017 AbstractWe introduce a concept of a discrete pseudo‐differential operator using general ideas of the theory and would like to show correlations between continuous and discrete cases. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Vasilyev, A., Vasilyev, V.
openaire +4 more sources
The action of pseudo-differential operators on functions harmonic outside a smooth hyper-surface
Comptes Rendus. MathématiqueThe goal of this note is to describe the action of pseudo-differential operators on the space of square integrable functions which are harmonic outside a smooth closed hyper-surface of a compact Riemannian manifold.
Boutet de Monvel, Louis +1 more
doaj +2 more sources
Computation of Pseudo-Differential Operators [PDF]
SIAM Journal on Scientific Computing, 1996 Summary: A simple algorithm is described for computing general pseudo-differential operator actions. Our approach is based on the asymptotic expansion of the symbol together with the fast Fourier transform. The idea is motivated by the characterization of the pseudo-differential operator algebra.
Gang Bao, William W. Symes
openaire +2 more sources
Fredholmness of pseudo-differential operators with nonregular symbols [PDF]
, 2023 summary:We establish the Fredholmness of a pseudo-differential operator whose symbol is of class $C^{0,\sigma ...
Yoshitomi, Kazushi
core +1 more source
Boundedness of Pseudo-Differential Operator for S0 Class [PDF]
, 2020 Pseudo-differential operator in a function space is obtained from the Fourier transform of this function space with a multiplier function. This paper will discuss and prove the boundedness of pseudo-differential operator in Lebesgue space with the ...
Habiburrohman, Muhammad +1 more
core +4 more sources
On positivity of pseudo-differential operators [PDF]
Proceedings of the National Academy of Sciences, 1978 In this paper we obtain new lower bounds for pseudo-differential operators with non-negative symbols, thus providing a sharper form of Gårding's inequality.
Fefferman, C., Phong, D. H.
openaire +2 more sources
Quantization of Pseudo-differential Operators on the Torus [PDF]
Journal of Fourier Analysis and Applications, 2009 36 ...
Ruzhansky, Michael, Turunen, Ville
openaire +4 more sources
A Class of Bounded Pseudo-Differential Operators [PDF]
Proceedings of the National Academy of Sciences, 1972 Pseudo-differential operators of order -M and type ρ, δ 1 , δ 2 are shown to be bounded in L 2 provided that 0 ≤ ρ ≤ δ 1 < 1, 0 ≤ ρ ≤ δ 2
Calderon, Alberto P., Vaillancourt, Remi
openaire +3 more sources
Pseudo-differential operators on Orlicz modulation spaces
, 2023 We deduce continuity properties for pseudo-differential operators with symbols in quasi-Banach Orlicz modulation spaces when rely on other quasi-Banach Orlicz modulation spaces.
Toft, Joachim, +3 more
core +1 more source