Results 181 to 190 of about 1,062,474 (215)

Standard Pseudodifferential Operators

1980
This chapter is the basic one in the book and, I hope, the most elementary. Its contents are essentially the definitions and fundamental properties of what are called here standard pseudodifferential operators, often called operators of type (1, 0), to contrast them with operators of type (ρ, δ), studied in Chapter IV. The presentation follows the line
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Analytic Pseudodifferential Operators

1980
“Generalized functions,” playing the role vis-a-vis analytic functions that distributions play vis-a-vis C ∞ functions, do exist: They are the hyper-functions of M. Sato. The analogues of pseudodifferential (and even hyperdifferential) operators can be made to act on them, and many results in this book have hyperfunction parallels. On this vast subject
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PSEUDODIFFERENTIAL OPERATORS OF PRINCIPAL TYPE

Mathematics of the USSR-Sbornik, 1967
Let P(D) be a differential operator of order m with constant coefficients, and let P0(ξ) be its principal symbol.
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Meromorphic pseudodifferential operators

1989
Meromorphic pseudodifferential operators arise, e.g., after applying the Mellin transform on the right and on the left to the operator of convolution with a homogeneous function. A ‘canonical’ meromorphic pseudodifferential operator of order a has the form E θ→o (λ + ia)-1Ф(o, θ)E Ψ→θ (λ).
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Analytic Pseudodifferential Operators

2017
The theory of analytic pseudo-differential operators (hereafter abbreviated as ψDOs) started with [BKr67]. The interest of Professor Boutet de Monvel in analyticity is characteristic in his research, and it is remarkable as “regularity” normally meant C ∞ in 1960s.
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Global $${\mathcal {M}}-$$Hypoellipticity, Global $${\mathcal {M}}-$$Solvability and Perturbations by Lower Order Ultradifferential Pseudodifferential Operators

, 2020
I. A. Ferra, G. Petronilho, Bruno de Lessa Victor   +2 more
semanticscholar   +1 more source

Pseudodifferential Operators

2018
Steven G. Krantz, Estela A. Gavosto, Marco M. Peloso   +2 more
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Pseudodifferential Operators

2004
Vladimir Rabinovich, Bernd Silbermann, Steffen Roch   +2 more
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Hypoelliptic pseudodifferential operators

1967
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Elementary Introduction to the Theory of Pseudodifferential Operators

, 2018
X. S. Raymond
semanticscholar   +1 more source