Abstract: Linear canonical transforms (LCTs) are a family of integral transforms with wide application in optical, acoustical, electromagnetic, and other wave propagation problems. The Fourier and ...

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The Generalized Integral Transform Technique (GITT) is applied to the solution of the momentum equations in a hydrodynamically developing laminar flow of a non-Newtonian power-law fluid inside a ...

Time-frequency analysis is a fundamental topic in non-stationary signal processing. Typical window-based methods (including short-time Fourier transform and wavelet transform) assume that the system ...

Band 1: Theorie der Laplace-Transformation. Von Prof. Gustav Doetsch. (Lehrbücher und Monographien aus dem Gebiete der exakten Wissen-schaften: Mathematische Reihe, Band 14.) Pp. 581. (Basel: Verlag ...

The Generalized Integral Transform Technique (GITT) was employed to simulate transient one-dimensional flow in variably saturated porous media, as well as radioactive waste transport within different ...

Quarterly of Applied Mathematics, Vol. 70, No. 1 (March 2012), pp. 77-97 (21 pages) This note deals with the Laplace transforms of integrands of the form xλ Jα (ax) Jβ (bx), which are found in ...

ABSTRACT: The exponential transform or modified Fourier transform is an integral transform where the Kernel function is K a ( ξ,t )= a −iξt , and a∈] 1,+∞ [ . This is a general case of the Fourier ...

Abstract: Ocean waves can either be the target of interferometric radar altimeter (IRA) observations or may affect observations of mesoscale and submesoscale ocean dynamic phenomena. Due to the low ...

In general, the computation of locally defined or singular quantities will be more efficient with non-uniform fast transforms. In particular, I am referring to the type 2 nonuniform fast transform, ...