Abstract
Additional transformations are introduced: Mellin, power series, finite Fourier, finite Laplace, and two-dimensional Laplace. Some of the operational properties are obtained for each of these transformations, but a full development is not carried out. The Laplace (and Fourier) transformations provided us with models for analogy. Examples of some applications are provided for each transformation. In Section 5.6 some ideas are introduced on how to design a transformation. Lagrange’s identity for differential operators is one basic tool for doing this; the general problem is difficult.
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© 1996 Springer Science+Business Media Dordrecht
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Buschman, R.G. (1996). Other Transformations. In: Integral Transformations, Operational Calculus, and Generalized Functions. Mathematics and Its Applications, vol 377. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-1283-3_5
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DOI: https://doi.org/10.1007/978-1-4613-1283-3_5
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4612-8548-9
Online ISBN: 978-1-4613-1283-3
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