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: 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 ...

In this note we construct some counterexamples concerning upper semicontinuity and linear upper and lower semicontinuity of the solution sets and ε -solution sets of nonlinear programming programs: ...

Abstract: Recently, The demand for smart devices, including smartphones, has been rapidly expanding, along with the development of higher performance devices, and this trend is expected to continue in ...