For those who have a background in advanced calculus, elementary topology and functional analysis - from applied mathematicians and engineers to physicists - this work provides a comprehensive analysis of the many important integral transforms and renders particular attention to all of the technical aspects of the subject.
Autorentext
Ram Shankar Pathak
Inhalt
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