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Σary, Moorhead State University, Mathematics Department
Σary, Moorhead State University, Mathematics Department
Math Department Newsletters
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History Of Fermat's Last Theorem, Amanda Brown
History Of Fermat's Last Theorem, Amanda Brown
Undergraduate Honors Capstone Projects
Around 1637, Pierre de Fermat made a now-famous mathematical conjecture. However, Fermat's conjecture neither began nor ended with him. Fermat's last theorem, as the conjecture is called, has roots approximately 3600 years old. The proof of the theorem was not realized until 1994, over 350 years after it was proposed by Fermat.
Invariant Subspaces Of The Harmonic Dirichlet Space With Large Co-Dimension, William T. Ross
Invariant Subspaces Of The Harmonic Dirichlet Space With Large Co-Dimension, William T. Ross
Department of Math & Statistics Faculty Publications
In this paper, we comment on the complexity of the invariant subspaces (under the bilateral Dirichlet shift f → ζf) of the harmonic Dirichlet space D. Using the sampling theory of Seip and some work on invariant subspaces of Bergman spaces, we will give examples of invariant subspaces F ⊂ D with dim(F/ζF) = n, n ∈ N ∪ {∞}. We will also generalize this to the Dirichlet classes Dα, 0 <α< ∞, as well as the Besov classes Bα p , 1