Quaternion-valued positive definite functions on locally compact Abelian groups and nuclear spaces

Daniel Alpay, Fabrizio Colombo, David P. Kimsey, Irene Sabadini

Type: Article

Publication Date: 2016-04-30

Citations: 6

DOI: https://doi.org/10.1016/j.amc.2016.03.034

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Applied Mathematics and Computation - View

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+	Boolean convolution in the quaternionic setting	2016	Daniel Alpay Marek Bożejko Fabrizio Colombo David P. Kimsey Irene Sabadini
+ PDF Chat	The L^P-spaces of functions from the n-dimensional real space to the N-dimensional quaternionic space	2024	Hussien Abugirda Mohammed Kh. Abdullah Khaldoun S. Al-Yasiri
+ PDF Chat	On a class of quaternionic positive definite functions and their derivatives	2017	Daniel Alpay Fabrizio Colombo Irene Sabadini
+	Quaternionic inverse Fourier transforms on locally compact abelian groups	2020	Majid Jabbar Saadan Mohammad Janfada Rajab Ali Kamyabi Gol
+	Quaternionic inverse Fourier Transforms on LCA Groups	2020	Majid Jabbar Saadan Mohammad Janfada Radjab Ali Kamyabi Gol
+ PDF Chat	Krein reproducing kernel modules in Clifford analysis	2021	Daniel Alpay Paula Cerejeiras Uwe Kähler

Works Cited by This (8)

Action	Title	Year	Authors
+	L'integration dans les groupes topologiques et ses applications	1951	André Weil
+	Remarques sur les Theoremes de Bochner et P.Levy	1967	Albert Badrikian
+	Pontryagin duality for subgroups and quotients of nuclear spaces	1986	Wojciech Banaszczyk
+	Über Potenzreihen mit positivem, reellen Teil im Einheitskreis	1991	Gustav Herglotz
+	Spectral Methods in Infinite-Dimensional Analysis	1995	Yu. M. Berezansky Yuri G. Kondratiev
+	Lectures on White Noise Functionals	2008	Tetsuro Hida Si Si
+	GENERALIZED FUNCTIONS	1964
+	Probability distributions on linear spaces	1981	Николай Николаевич Вахания