Speaker
Sergey Platonov
(Petrozavovsk State University)
Description
In various sections of the classical Fourier Analysis, the problem of the convergence of the integrals
$$
\int\limits_0^\infty f(\lambda t)\, g(t)\, dt
$$
as $\lambda\to+0$ and $\lambda\to +\infty$ under various assumptions on the functions $f$ and $g$ are considered.
In the talk we study some analogues of such problems for weight integrals of the form
$$
\int\limits_0^\infty f(\lambda t)\, g(t)\,t^{2\alpha+1} \, dt , \quad \alpha>-1/2,
$$
for functions $f$ and $g$ from some weighted functional classes that are connected with Fourier -- Bessel harmonic analysis.
Primary author
Sergey Platonov
(Petrozavovsk State University)
