Although the theory of well-posed Cauchy problems is reasonably understood, ill-posed
problems-involved in a numerous mathematical models in physics, engineering, and finance …

For those who have a background in advanced calculus, elementary topology and functional
analysis-from applied mathematicians and engineers to physicists-researchers and …

We investigate mapping properties for the Bargmann transform on an extended family of
modulation spaces whose weights and their reciprocals are allowed to grow faster than …

We introduce some general classes of pseudodifferential operators with symbols admitting
exponential type growth at infinity and we prove mapping properties for these operators on …

We consider a broad family of test function spaces and their dual (distribution) spaces. The
family includes Gelfand–Shilov spaces, and a family of test function spaces introduced by …

We propose a novel approach for the study of the uniform regularity and the decay at infinity
for Shubin type pseudo-differential operators which are globally hypoelliptic but not …

Stochastic Cauchy Problems in Infinite Dimensions: Generalized and Regularized Solutions
presents stochastic differential equations for random processes with values in Hilbert …

We deduce continuity and Schatten–von Neumann properties for operators with matrices
satisfying mixed quasi-norm estimates with Lebesgue and Schatten parameters in (0,∞]. We …

We find solutions for the diffusion-wave problem in 1D with n-term time fractional derivatives
whose orders belong to the intervals (0, 1),(1, 2) and (0, 2) respectively, using the method of …

We prove that any linear operator with a kernel in a Gelfand–Shilov space is a composition
of two operators with kernels in the same Gelfand–Shilov space. We also give links on …