I want to learn about Solving Differential Equation by using "Discrete Singular Convolution"method. I want to learn this method, if someone has hand notes it would be great to share with me. I need to learn that in 2 weeks. Thanks in advance.
Singular convolutions (SC) are a particular class of mathematical transformations, which appear in many science and engineering problems, such as Hilbert transform, Abel transform, and radon transform. Not only providing a rigorous justification for a number of informal manipulations in physical and engineering sciences, but also it opens a new area of mathematics, which in turn gives impetus to many other mathematical disciplines, such as operator calculus, differential equations, functional analysis, harmonic analysis and transformation theory. In fact, the theory of wavelets and frames, a new mathematical branch developed in recent years, can also find its root in the theory of distributions.
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