Results 11 to 20 of about 6,202 (215)
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
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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.
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Quantization of Pseudo-differential Operators on the Torus [PDF]
Journal of Fourier Analysis and Applications, 2009 36 ...
Ruzhansky, Michael, Turunen, Ville
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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 < 1, and [Formula: see text].
Calderon, Alberto P., Vaillancourt, Remi
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On the boundedness of pseudo-differential operators [PDF]
Proceedings of the American Mathematical Society, 1973 In this note, we use the sequence version of Cotlar's lemma and a partition of unity to give a proof of the L2-boundedness of a class of pseudo-differential operators. Introduction and results. Let p(x, 5) be a continuous function on RI x RI. Then, a pseudo-differential operator P with the symbol p(x, 5) is a linear map of CO (Rn) into CO(Rn), defined ...
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A new class of pseudo-differential operators [PDF]
Proceedings of the National Academy of Sciences, 1978 We describe a class of pseudo-differential operators and their singular integral realizations and show how these may be used to give precise estimates in various function spaces. Application will be given in particular to several situations in which subelliptic estimates arise for partial differential equations.
Nagel, Alexander, Stein, Elias M.
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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.
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Molecular Oncology, EarlyView.This study shows that lung adenocarcinomas exploit developmental branching morphogenesis to acquire a therapy resistant basal‐like tumour cell state. This process was found to be regulated by combined TP53 loss‐of‐function and type‐I interferon signalling, identifying a novel axis for biomarker and therapeutic target discovery.
Kamila J Bienkowska +13 more
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Molecular Oncology, EarlyView.We identify USP29 as the only DUB mirroring CA9 expression, a marker of hypoxia and HIF pathway activation associated with PCA aggressiveness. USP29 stabilizes HIF‐1α and HIF‐2α via a noncanonical mechanism that is independent of PHD/pVHL activity yet relies on proteasomal regulation, establishing USP29 as a previously unrecognized regulator of hypoxic
Amelie S Schober +16 more
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Molecular Oncology, EarlyView.Single‐cell multi‐omics reveals epigenetic heterogeneity across therapy‐adaptive tumor states, including quiescent/dormant, drug‐tolerant persister, and EMT‐like phenotypes. By linking regulatory features with state‐associated biomarkers, these approaches inform biomarker‐guided therapeutic strategies for evolving tumors.
Hee Jung Kim +3 more
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