Connor Mccranie (CU Boulder) Locall convex topological vector spaces

Wed, Feb. 15 4:40pm (MATH 3…

Grad Student Seminar

Evan Young (CU Boulder)

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Fourier transforms. Laplace transforms. Mellin transforms. Discrete Fourier transforms. Hadamard transforms. Oh my! In this presentation, we will discuss how all of the above examples of integral transforms are actually particular instances of a very general association of commutative Banach algebras known as the Gelfand representation. This talk will serve as an introduction to the use of algebraic techniques in analysis and conversely, to the use of analytic techniques in algebra.