Essays about: "product integrals"
Found 2 essays containing the words product integrals.
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1. Complex Multiplicative Calculus and Mixed Problems
University essay from Lunds universitet/Matematik LTH; Lunds universitet/Matematik (naturvetenskapliga fakulteten)Abstract : In this thesis we consider multiplicative integrals and derivatives on functions on the positive numbers, the logarithmic Riemann surface and the punctured complex numbers. Additive structures on the real and complex numbers are related to their multiplicative counterparts on the positive numbers and the logarithmic Riemann surface by defining exponential transition functors. READ MORE
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2. Index Theorems and Supersymmetry
University essay from Uppsala universitet/Teoretisk fysikAbstract : The Atiyah-Singer index theorem, the Euler number, and the Hirzebruch signature are derived via the supersymmetric path integral. Concisely, the supersymmetric path integral is a combination of a bosonic and a femionic path integral. READ MORE