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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 ...

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 ...

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 ...

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, ...

Abstract: Integral transforms are invaluable mathematical tools to map functions into spaces where they are easier to characterize. We introduce the hyperdimensional transform as a new kind of ...