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arXiv · 0910.5899

On the Range of Cosine Transform of Distributions for Torus-Invariant Complex Minkowski Spaces

Yang Liu
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Abstract

In this paper, we study the range of (absolute value) cosine transforms for which we give a proof for an extended surjectivity theorem by making applications of the Fredholm's theorem in integral equations, and show a Hermitian characterization theorem for complex Minkowski metrics on \mathbb{C}^n. Moreover, we parametrize the Grassmannian in an elementary linear algebra approach, and give a characterization on the image of the (absolute value) cosine transform on the space of distributions on the Grassmannian Gr_{2}(\mathbb{C}^{2}), by computing the coefficients in the Legendre series expansion of distributions.

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Yang Liu. 2010-09-26. On the Range of Cosine Transform of Distributions for Torus-Invariant Complex Minkowski Spaces. https://arxiv.org/abs/0910.5899

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