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: 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 ...
Liouville's formula for certain class of linear operator equations of order n is derived. The result is applied to solving a linear second order operator equation. A number of examples which ...
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: The representation of a nonlinear dynamical system as infinite-dimensional linear operator over a Hilbert space of functions enables the study of the nonlinear system via pseudo-spectral ...
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 ...
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