Integral Transforms of Generalized Functions and Their Applic... - 9789056995546

Name: Integral Transforms of Generalized Functions and Their Applic... - 9789056995546
Brand: Taylor & Francis

Taylor & Francis

This book provides extensions of a number of integral transforms to generalized functions (in the sense of Schwartz) so that they can be applied to problems with distributional boundary conditions. It presents a comprehensive analysis of the many important integral transforms. > This book provides extensions of a number of integral transforms to generalized functions (in the sense of Schwartz) so that they can be applied to problems with distributional boundary conditions. It presents a comprehensive analysis of the many important integral transforms. > 1. Normed and Countably Normed Spaces 2. Fourier Transforms of Distributions 3. Fourier Transforms of Ultradistributions 4. Laplace Transform 5. Stieltjes Transform 6. Hilbert Transform 7. Mellin and Watson Transforms 8. Hankel Transforms of Distributions 9. Hankel Transforms of Ultradistributions 10. Kontorovich-Lebedev Transform 11. Generalized Mehler-Fock Transform 12. Eigenfunction Expansion of Generalized Functions