L P-distributions on symmetric spaces | Zendy

Michael Ruzhansky | Zendy

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L P-distributions on symmetric spaces

Author(s) -

Michael Ruzhansky

Publication year - 2003

Publication title -

resultate der mathematik

Language(s) - English

Resource type - Journals

ISSN - 0378-6218

DOI - 10.1007/bf03322922

Subject(s) - mathematics , pure mathematics , symmetric space , type (biology) , space (punctuation) , laplace–beltrami operator , a priori and a posteriori , laplace transform , operator (biology) , topology (electrical circuits) , mathematical analysis , combinatorics , computer science , p laplacian , ecology , philosophy , biochemistry , chemistry , epistemology , repressor , transcription factor , gene , biology , boundary value problem , operating system

The notion of L p-distributions is introduced on Riemannian symmetric spaces of noncompact type and their main properties are established. We use a geometric description for the topology of the space of test functions in terms of the Laplace-Beltrami operator. The techniques are based on a-priori estimates for elliptic operators. We show-that structure theorems, similar to ℝn, hold on symmetric spaces. We give estimates for the convolutions.

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