Abstract
In this paper, by using the theory of reproducing kernels, we investigate integral transforms with kernels related to the solutions of the initial Whittaker heat problem.
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Acknowledgements
The authors were supported by FEDER funds through COMPETE—Operational Programme Factors of Competitiveness (“Programa Operacional Factores de Competitividade”) and by Portuguese funds through the Center for Research and Development in Mathematics and Applications (University of Aveiro) and the Portuguese Foundation for Science and Technology (“FCT—Fundação para a Ciência e a Tecnologia”), within project PEst-C/MAT/UI4106/2011 with COMPETE number FCOMP-01-0124-FEDER-022690. The second author is supported in part by the Grant-in-Aid for the Scientific Research (C)(2) (No. 24540113).
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Rodrigues, M.M., Saitoh, S. (2015). Whittaker Differential Equation Associated to the Initial Heat Problem. In: Mityushev, V., Ruzhansky, M. (eds) Current Trends in Analysis and Its Applications. Trends in Mathematics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-12577-0_58
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DOI: https://doi.org/10.1007/978-3-319-12577-0_58
Publisher Name: Birkhäuser, Cham
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