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math.FA2025
A Class of Functionals on the Sequence Space Satisfying the Palais-Smale Condition
Kaveh Eftekharinasab
We introduce a class of functionals on the space of rapidly decreasing sequences , called -functionals, defined as decomposable sums of quadratic and convex terms…
math.DG2025
Spray-Invariant Sets in Infinite-Dimensional Manifolds
Kaveh Eftekharinasab
We introduce the concept of spray-invariant sets on infinite-dimensional manifolds, where any geodesic of a spray starting in the set stays within it for its entire domain. These s…