Spectral analysis and synthesis on symmetric spaces |
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Institution: | Department of Mathematics, Metropolitan University, Iztapalapa, Mexico City, Mexico |
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Abstract: | The problem of spectral analysis and synthesis is studied in the space C∞ (X) of smooth functions on symmetric space X of noncompact type and of rank one. One proves that the spectral analysis and synthesis hold for those invariant subspaces of C∞(X) whose spectrum does not contain the zeroes of the Harish-Chandra function c. |
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