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

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

2009-10-30

arxiv.org/abs/0910.5899v2

Mathematics

Metric Geometry

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

On the Range of Cosine Transform of Distributions for Torus-Invariant Complex Minkowski Spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the Range of Cosine Transform of Distributions for Torus-Invariant Complex Minkowski Spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Range of Cosine Transform of Distributions for Torus-Invariant Complex Minkowski Spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-90180