Table of Contents
1 Preliminaries, 2 Special Functions, 3 Generalized Functions, 4 Function Transformations, 5 The Laplace Transform, 6 The Two-Sided Laplace Transform, 7 The Borel Transform, 8 The Stieltjes Transform, 9 The Lambert Transform, 10 The Mellin Transform, 11 Finite Mellin-Type Transforms, 12 The Fourier Transform, 13 The Hartley Transform, 14 The Hilbert Transform, 15 The Boas Transform, 16 The Mittag-Leffler Transform, 17 The Convolution Transform, 18 The Weierstrass Transform, 19 The Abel Transform, 20 The Riemann-Liouville and Weyl Fractional Integrals, 21 The Hankel and Hankel-Type Transforms, 22 The Hardy Transform, 23 The K (Meijer) Transform, 24 The Kontorovich-Lebedev Transform, 25 The Mehler-Fock Transform, 26 The Sturm-Liouville-Type Transforms, 27 Miscellaneous Transforms, 28 The Bargmann Transform, 29 The Zak Transform, 30 The Gabor Transform, 31 The Ambiguity Transformation and Wigner Distribution, 32 The Wavelet Transform, 33 The Radon Transform, 34 Sequence Transformations, Appendices, A Signal Analysis Terminology, B Tables of Integral Transforms, C List of Symbols, References, Index
