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Automorphisms of G-Structures
Let M be a differentiable manifold of dimension n and L(M) the bundle of linear frames over M. Then L(M) is a principal fibre bundle over M with... -
Stochastic partial differential equations in M-type 2 Banach spaces
We study abstract stochastic evolution equations in M-type 2 Banach spaces. Applications to stochastic partial differential equations in L ...
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ϵ-ENTROPY of a set in a metric space - The logarithm to the base 2 of the smallest number of points in an ϵ-net for this set. In other words, the... -
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X 2-DISTRIBUTION - See ‘Chi-squared’ distribution. -
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δ-σ-OPERATION - A set-theoretic operation, the result of its application to a sequence (E... -
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Degenerate Elliptic Equations and Boundary Problems
A differential operator A on a manifold Ω is called elliptic if its principal symbol A 0(x,ξ) does not vanish on T*0 (Ω) (see Egorov,... -
Spectral Theory of Differential Operators
The spectral theory of operators in a finite-dimensional space first appeared in connection with the description of the frequencies of small... -
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High order nonlinear parabolic equations
The basic results and methods of the theory of high order nonlinear parabolic equations are described. In the first chapter boundary problems for...
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Pseudo-Differential Operators of Volterra Type on Spaces of Ultra Distributions and Parabolic Mixed Problems
The calculus of classical pseudo-differential operators has been used in a fundamental way in the study of boudary value problems associated to... -
E
∊-ENTROPY of a set in a metric space — The logarithm to the base 2 of the smallest number of points in an ∊-net for this set. -
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The approximate spectral projection method
In this paper we develop a general method for investigating the spectral asymptotics for various differential and pseudo-differential operators and...