In recent years, the quadratic-phase Fourier transform has been extensively studied. In this talk, we will present the quadratic-phase Fourier transform and some of its properties, namely an inversion theorem, a Riemann-Lebesgue lemma, a Plancherel lemma and a Hausdorff-Young inequality....

The Smoluchowski coagulation equation is a classical equation describing the distribution of particle sizes undergoing binary coagulation. Despite extensive study for over a century, it continues to pose significant analytical challenges, particularly concerning long-time behavior for...