Results 141 to 150 of about 11,357 (198)

A symbol calculus for Toeplitz operators. [PDF]

Proc Natl Acad Sci U S A, 1986
Berger CA, Coburn LA.
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Minimal representations of E6, E7, and E8 and the generalized Capelli identity. [PDF]

Proc Natl Acad Sci U S A, 1994
Brylinski R, Kostant B.
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Oscillator representations and systems of ordinary differential equations. [PDF]

Proc Natl Acad Sci U S A, 2001
Parmeggiani A, Wakayama M.
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Local analytic hypoellipticity for square(b) on nondegenerate Cauchy-Riemann manifolds. [PDF]

Proc Natl Acad Sci U S A, 1978
Tartakoff DS.
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Automorphic Pseudodifferential Operators

1997
The theme of this paper is the correspondence between classical modular forms and pseudodifferential operators (ΨDO’s) which have some kind of automorphic behaviour. In the simplest case, this correspondence is as follows. Let Γ be a discrete subgroup of PSL 2(ℝ) acting on the complex upper half-plane H in the usual way, and f(z) a modular form of even
Cohen, P., Manin, Y., Zagier, D. ; https://orcid.org/0009-0007-6199-9283   +2 more
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NONDEGENERATE SUBELLIPTIC PSEUDODIFFERENTIAL OPERATORS

Mathematics of the USSR-Sbornik, 1970
In this paper we study scalar pseudodifferential operators for which the gradient of the principal part of the symbol does not vanish and is not proportional to a real vector at any characteristic point . Such operators are called nondegenerate. It is assumed in addition that for each point of there exists an operator in the Lie algebra generated by ...
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Pseudodifferential Operators as Integral Operators

2021
All of the integral operators with nonintegrable kernels are given in terms of computable Hadamard's partie finie, i.e. finite part integrals [168], which can be applied to problems in applications (Guiggiani [163], Schwab et al [380]).
George C. Hsiao, Wolfgang L. Wendland
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Pseudodifferential Operators and Linear Connections

Proceedings of the London Mathematical Society, 1997
The aim of the paper is to construct a calculus of pseudodifferential operators (PDOs) on a smooth manifold \(M\) without using local coordinate systems. Instead we deal with linear connections \(\Gamma\) of \(M\). The fact that a linear connection \(\Gamma\) is a global object enables one to associate with a PDO its full symbol, which is a function on
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Periodic Pseudodifferential Operators

2002
In this chapter we present a systematic theory of periodic pseudodifferential operators. In next chapters the pseudodifferential structure of periodic integral operators will be extensively used by constructing fast solvers for integral equations.
Jukka Saranen, Gennadi Vainikko
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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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