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math.AP2026
Higher order logarithms of Bessel operators and an extension problem
Jorge J. Betancor, Estefanía. Dalmasso, Juan C. Fariña +1
We consider the Bessel operator defined by \[ B_λ=-\frac{d^2}{dx^2}+\frac{λ^2-1/4}{x^2}, \] on , with . We study the fractional power , , $s\n…
math.AP2026
On -order logarithmic Schrödinger operator
Jorge J. Betancor, Estefanía Dalmasso, Pablo Quijano +1
In this paper we study the logarithm of order of the Schrödinger operator in , for certain nonnegative potentials . First, the operator $\log^m\m…
math.AP2026
Logarithmic Schrödinger operators
Jorge J. Betancor, Estefanía Dalmasso, Juan C. Fariña +1
In this paper we consider the Schrödinger operator in with a non negative potential , and . We define the logarithmic Schrödin…