doi:10.1007/BF01093666L.E.DunduchenkoKluwer Academic Publishers-Plenum PublishersMathematical Notes
In this paper, the Plancherel theorem is used to decompose k-compact Schwartz class functions (those with k-typesi n a compact set) as finite sums of wave packets. A new feature of the infinite center case is that the individual wave packets occurring in the decomposition of a Schwartz ...
N. M. Zhabborov, “Morer’s theorem and functional series in the class of A-analytic functions,” J. Sib. Fed. Univ. Maths. Phys., 9, No. 3, 374–383 (2018). MathSciNet Google Scholar N. M. Zhabborov and Kh. Kh. Imomnazarov, Some Initial Boundary-Value Problems of Mechani...
4) generalized functions 广义函数 1. The theoretical proof is based on the theory of Schwartz generalized functions. 该文给出了修正的Morley方程在坐标原点具有奇性的基本解的一种构造方法,以及基于Schwartz广义函数理论的证明。 2. Utilizing perturbation method, stochastic equations are changed to be a...
Employing two methods we consider a class of n-dimensional functional equations in the space of Schwartz distributions. As the first approach, employing regularizing functions we reduce the equations in distributions to classical ones of smooth functions and find the solutions. Secondly, using differenti...
We give an explicit criterion for a rational lattice in the time-frequency plane to admit a Gabor frame with window in the Schwartz class.The criterion is an inequality formulated in terms of the lattice covolume, thedimension of the underlying Euclidean space, and the index of an associated...
The traditional kernel functions K(x,y) of two variables of the theory of integral operators having been expanded in scope to include their generalized function analogues, which are allowed to be more singular in a serious way, a large class of operators from D to its dual space D′ of ...
This model is fairly satisfactory, allowing for the correct classifi- cation of 90% of the cases. Only one culture of the low group and one in the high were mistakenly classified. Finally, considering the discriminant functions obtained for each of the cultural dimensions, a ranking of ...
Garrison v. Warner Bros., et al.(C.D. Cal.): Successfully represented motion picture studios against class action brought by thousands of high-level employees who claimed their compensation was “unconscionably” low and the result of antitrust conspiracy among the industry’s major employers. ...
My personal library of random scripts, functions, and thoughts. Python dotfiles Public Forked from startup-class/dotfiles Development configuration files for Startup Engineering MOOC. Intended to be forked and customized by students. Emacs Lisp xlSudoku Public Sudoku solver in Microsoft Exc...