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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, 1967Let 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
1989Meromorphic 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
2017The 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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Integrative oncology: Addressing the global challenges of cancer prevention and treatment
Ca-A Cancer Journal for Clinicians, 2022Jun J Mao,, Msce +2 more
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Hypoelliptic pseudodifferential operators
1967zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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