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math.CA2026
On parameter-dependent inhomogeneous boundary-value problems in Sobolev spaces
Olena Atlasiuk, Vladimir Mikhailets, Jari Taskinen
We study a wide class of linear inhomogeneous boundary-value problems for th order ODE-systems depending on a parameter belonging to a general metric space . The…
math.CV2026
Elliptic functions, Floquet transform and Bergman spaces on doubly periodic domains
Jari Taskinen, Zhan Zhang
We study Bergman spaces A^2(D), their kernels and Toeplitz operators on unbounded, doubly periodic domains D in the complex plane. We establish the mapping properties of the Floque…