Function spaces form a fundamental framework in modern mathematical analysis, allowing researchers to systematically study functions through norms, metrics and topological properties. Asymptotic ...

Look for the leftmost and rightmost points of the graph. If the graph extends indefinitely to the left or right, the domain includes negative or positive infinity, respectively. Note any breaks or ...

In this paper, we consider the function f p ( t )= 2p X 2 ( 2p t+p;p ) , where χ²(x; n) defined by X 2 ( x;p )= 2 −p/2 Γ( p/2 ) e −x/2 x p/2−1 , is the density function of a χ²-distribution with n ...

Transactions of the American Mathematical Society, Vol. 272, No. 2 (Aug., 1982), pp. 785-802 (18 pages) The technique devised by Wong to derive the asymptotic expansions of multiple Fourier transforms ...