Transform Analysis of Generalized Functions concentrates on finite parts of integrals, generalized functions and distributions. It gives a unified treatment of the distributional setting with transform analysis, i.e. Fourier, Laplace, Stieltjes, Mellin, Hankel and Bessel Series.
High school senior Meredith Bedford is a social outcast. Her family recently moved from the Catskill Mountains to the sprawling suburbs of Albany, the capital of New York State. Shy and self-conscious about her acne scars, she stays to herself and tries to remain invisible. Her twelve-year-old brother, Mikey, has Down Syndrome and she tries hard…
Included are accounts of applications of the theory of integral transforms in a distributional setting to the solution of problems arising in mathematical physics. Information on distributional solutions of differential, partial differential equations and integral equations is conveniently collected here.
The volume will serve as introductory and reference material for those interested in analysis, applications, physics and engineering.
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