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math.CA2026
Decay rates for (2+1)-dimensional oscillatory integral operators with homogeneous polynomial phases
Jayden Lang, Wan Tang
Consider the oscillatory integral operators \begin{equation} T_λf(y)=\int_{\mathbb{R}^{2}}e^{iλS\left( x_{1},x_{2}% ,y\right) }Φ(x_{1},x_{2},y)f(x_{1},x_{2})dx_{1}dx_{2},\nonumber…
math.CA2025
Sharp decay rate for (1+2)-dimensional oscillatory integral operators with cubic polynomial phases
Jayden Lang, Wan Tang
In this paper, we consider the (1+2)-dimensional oscillatory integral with degenerate cubic homogeneous polynomial phase. We prove that the decay rate of 3/8 given in (Arch…
math.CA2006
Oscillatory integral operators with homogeneous polynomial phases in several variables
Allan Greenleaf, Malabika Pramanik, Wan Tang
We obtain decay estimates in for oscillatory integral operators whose phase functions are homogeneous polynomials of degree m and satisfy various genericity assumptions.…