98 citations
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Showing 2012Show all
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math.AP2012★ 21 cited
Wave polynomials, transmutations and Cauchy's problem for the Klein-Gordon equation
Kira V. Khmelnytskaya, Vladislav V. Kravchenko, Sergii M. Torba +1
We prove a completeness result for a class of polynomial solutions of the wave equation called wave polynomials and construct generalized wave polynomials, solutions of the Klein-G…
math.FA2012
Infinite Dimensional Bicomplex Spectral Decomposition Theorem
Kuldeep Singh Charak, Ravinder Kumar, Dominic Rochon
This paper presents a bicomplex version of the Spectral Decomposition Theorem on infinite dimensional bicomplex Hilbert spaces. In the process, the ideas of bounded linear operator…