On q-Laplace operator and q-harmonic polynomials |
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| Authors: | N Z Iorgov A U Klimyk |
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| Institution: | (1) Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, Metrologicheskaya ul. 14b, Kiev, 252143, Ukraine |
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| Abstract: | A q-Laplace operator and q-harmonic polynomials on the quantum vector space are studied. A q analog of associated spherical harmonics are constructed. They constitute an orthonormal basis of the space of q-harmonic polynomials. A q analog of separation of variables is given. |
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