we characterize function spaces of rees matrixsemigroups. then we study these spaces by using the topologicaltensor product technique.

We model monthly disease counts on an age-time grid using the two-dimensional varying-coefficient Poisson regression. Since the marginal profile of counts shows a very strong and varying annual cycle, sine and cosine regressors model periodicity, but their coefficients are allowed to vary smoothly over the age and time plane. The coefficient surfaces are estimated using a relatively large tenso...

we show that the character space of the vector-valued lipschitz algebra $lip^{alpha}(x, e)$ of order $alpha$ is homeomorphic to the cartesian product $xtimes m_e$ in the product topology, where $x$ is a compact metric space and $e$ is a unital commutative banach algebra. we also characterize the form of each character on $lip^{alpha}(x, e)$. by appealing to the injective tensor product, we then...

We introduce and describe the 2-category Grt♭ of Grothendieck categories flat morphisms between them. First, we show that tensor product locally presentable linear ⊠ restricts nicely to Grt♭. Then, characterize exponentiable objects with respect ⊠: these are continuous categories. In particular, finitely exponentiable. Consequently, have that, for a quasi-compact quasi-separated scheme X, categ...

We define a bijection from Littlewood–Richardson tableaux to rigged configurations and show that it preserves the appropriate statistics. This proves in particular a quasi-particle expression for the generalized Kostka polynomials KλR(q) labeled by a partition λ and a sequence of rectangles R. The generalized Kostka polynomials are q-analogues of multiplicities of the irreducible GL(n,C)-module...