Results 131 to 140 of about 9,965 (190)
Continuum and Discrete Initial-Boundary Value Problems and Einstein's Field Equations. [PDF]
Living Rev Relativ, 2012 Sarbach O, Tiglio M.
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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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Homological properties of rings of functional-analytic type. [PDF]
Proc Natl Acad Sci U S A, 1990 Wodzicki M.
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Laws of composition of Bäcklund transformations and the universal form of completely integrable systems in dimensions two and three. [PDF]
Proc Natl Acad Sci U S A, 1983 Chudnovsky DV, Chudnovsky GV.
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Singular integrals related to the Radon transform and boundary value problems. [PDF]
Proc Natl Acad Sci U S A, 1983 Phong DH, Stein EM.
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Automorphic Pseudodifferential Operators
1997The 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. +2 more
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NONDEGENERATE SUBELLIPTIC PSEUDODIFFERENTIAL OPERATORS
Mathematics of the USSR-Sbornik, 1970In 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
2021All 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, 1997The 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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