Linear operators form the cornerstone of analysis in Banach spaces, offering a framework in which one can rigorously study continuity, spectral properties and stability. Banach space theory, with its ...
# This example demostrates the construction of a family of fractional # Laplacians parametrized by the fractional order using operator # interpolation. This can reduce the cost compared to assembling ...
Abstract: A classic problem in signal processing is that of analysing empirical data in order to extract information contained within that data. The primary goal of this article is to employ the ...
ABSTRACT: Estimates of the type L1-L∞ for the Schrödinger Equation on the Line and on Half-Line with a regular potential V(x), express the dispersive nature of the Schrödinger Equation and are the ...
ABSTRACT: We consider plus-operators in Krein spaces and generated operator linear fractional relations of the following form: . We study some special type of factorization for plus-operators T, among ...
We present a machine learning method based on random projections with Johnson-Lindenstrauss (JL) and/or Rahimi and Recht (2007) Random Fourier Features (RFFN) for efficiently learning linear and ...
SIAM Journal on Applied Mathematics, Vol. 42, No. 5 (Oct., 1982), pp. 941-955 (15 pages) Slepian, Landau and Pollak found that a certain finite convolution integral operator on the real line commutes ...
Let K := R or C; 0 < λ < 1 and f ∈ C([0, b] × K³, K). In this paper we use the weakly Picard operator theory technique to study the following functional-differential equation y′(x) = f(x, y(x), y′(x); ...
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