Abstract
We present a general method for obtaining isometrical identities and inversion formulas for integral transforms involving smooth functions. We illustrate our method using Fourier transforms with weights as well as for Weierstrass, Laplace, and Mellin transforms.
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© 1999 Springer Science+Business Media Dordrecht
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Saitoh, S., Yamamoto, M. (1999). Integral Transforms Involving Smooth Functions. In: Saitoh, S., Alpay, D., Ball, J.A., Ohsawa, T. (eds) Reproducing Kernels and their Applications. International Society for Analysis, Applications and Computation, vol 3. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-2987-0_14
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DOI: https://doi.org/10.1007/978-1-4757-2987-0_14
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4419-4809-0
Online ISBN: 978-1-4757-2987-0
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