Function transformations, which include linear integral transformations, are some of the most important mathematical tools for solving problems in all areas of engineering and the physical sciences. They allow one to quickly solve a problem by breaking it down into a series of smaller, more manageable problems.The author has compiled the most important and widely used of these function transforms in applied mathematics and electrical engineering. In addition to classical transforms, newer transforms such as wavelets, Zak, and Radon are included. The book is neither a table of transforms nor a textbook, but it is a source book that provides quick and easy access to the most important properties and formulas of function and generalized function transformations.

PreliminariesSpecial FunctionsGeneralized FunctionsFunction TransformationsThe Laplace TransformThe Two-Sided Laplace TransformThe Borel TransformThe Stieltjes TransformThe Lambert TransformThe Mellin TransformThe Mellin-Type TransformThe Fourier TransformThe Hartley TransformThe Hilbert TransformThe Boas TransformThe Mittag-Leffler TransformThe Convolution TransformThe Weierstrass TransformThe Abel TransformThe Riemann-Liouville and Weyl Fractional IntegralsThe Hankel and Hankel-Type Transforms (The I, Y and H-Transforms)The Hardy TransformThe K(Meijer)-TransformThe Kontorovich-Lebedev TransformThe Mehler-Fock TransformThe Sturm-Liouville-Type TransformsMiscellaneous Transforms: Kummer, Erdelyi, Hypergeometric, E, and G TransformsThe Bargmann TransformThe Zak TransformThe Gabor TransformThe Ambiguity Transformation and Wigner DistributionThe Wavelet TransformThe Radon TransformSequence Transformations: The Discrete Fourier, Fast Fourier, Z, and Walsh Transforms