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Algebraic Geometry Commons

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Harmonic Analysis and Representation

UNF Graduate Theses and Dissertations

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Full-Text Articles in Algebraic Geometry

On Representations Of The Jacobi Group And Differential Equations, Benjamin Webster Jan 2018

On Representations Of The Jacobi Group And Differential Equations, Benjamin Webster

UNF Graduate Theses and Dissertations

In PDEs with nontrivial Lie symmetry algebras, the Lie symmetry naturally yield Fourier and Laplace transforms of fundamental solutions. Applying this fact we discuss the semidirect product of the metaplectic group and the Heisenberg group, then induce a representation our group and use it to investigate the invariant solutions of a general differential equation of the form .