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We identify two seemingly disparate structures: supercharacters, a useful way of doing Fourier analysis on the group of unipotent uppertriangular matrices with coefficients in a finite field, and th...
We show that elements of a natural basis of the Iwahori xed vectors in a principal series representation of a reductive p-adic group satisfy certain recursive relations. The precise identities invol...
In this paper, we give the expressions for the bounded spherical functions, or equivalently the spherical functions of positive type, for the free two-step nilpotent Lie groups endowed with the action...
We introduce and study a class of projective completions of ane algebraic varieties which generalize the construction of toric varieties from convex rational polytopes.
In this paper, we generalize the construction of strongly regular graphs in [Y. Tan et al., Strongly regular graphs associated with ternary bent functions, J. Combin.Theory Ser. A (2010), 117, 668-68...
The work is devoted to investigation of the canonical structure of regular, in domain of definition ${\cal U}\subseteq {\mathbb R}^{m}$, the pencil of matrix-functions $A(x)+\lambda B(x)$. It is supp...
We use hook Schur functions to compute trace cocharacters of matrices in hooks. As an example we compute the cocharacters of 3 x 3 matrices in the one by two hook
Let be a hyperbolic polynomial-like function of the form where are given positive real numbers and . Let be the critical points of lying in . Define the ratios We prove that . These boun...
The set of probability functions is a convex subset of $L^1$ and it does not have a linear space structure when using ordinary sum and multiplication by real constants. Moreover, difficulties arise wh...
It is proved that: If X is a paracompact Hausdorff space and E is a Frechet lattice then (X, E) has the separation property. This is employed to extend some varies of functions that are known for spac...

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