chapter  5
18 Pages

Hilbert and Stieltjes Transforms

ByBaidyanath Patra

Both Hilbert and Stieltjes transforms appear in many problems of Applied Mathematics. Specially, Hilbert transform plays important role in solving problems of fluid mechanics, electronics and signal processing etc. Also while solving problems of fracture mechanics through integral equation technique use of Stieltjes transform may be found useful due to its simple inversion formula. At first this chapter deals with Hilbert transform.