Titlebook: Harmonic Analysis of Mean Periodic Functions on Symmetric Spaces and the Heisenberg Group; Valery V. Volchkov,Vitaly V. Volchkov Book 2009

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ble. First, . analyses are required even if there is a complete lack of experiential, experimental and counterfactual evidence. Second, ex-ante evaluation is particularly important when general knowledge lacks the policy to implement, that is to say when public policies deal with issues that have recently emerged.

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Analogues of the Beltrami–Klein Model for?Rank One Symmetric Spaces of?Noncompact?Types are discussed. Calculations in the text are given as explicit as possible. Presented are explicit formulas for the Riemannian measure, the Laplace–Beltrami operator, the symmetries, the distance, and so on. The exposition differs from the existing books. The presented material gives an alternative way to learn about and work on symmetric spaces.

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Realizations of Rank One Symmetric Spaces of?Compact Typeponding projective spaces. A detailed discussion of this imbedding is presented. Many formulas that are useful and important, but usually left to books, are given in the text. This is the source of very extensive information about compact symmetric spaces of rank one.

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Realizations of the Irreducible Components of?the Quasi-Regular Representation of Groups Transitive s into irreducible submodules under the action of these groups is given. Applications of these results to invariant subspaces are considered. The treatment differs from the existing books and is accessible to a wider audience as the use of Lie theory is minimal.

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Preliminariesonality property for entire functions, Cauchy-type estimates of holomorphic functions, the Titchmarsh theorem on supports of convolutions, the Paley–Wiener–Schwartz theorem, and the Ehrenpreis–H?rmander characterization of invertible distributions. These results will be used many times in the later chapters.

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