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Distribution & Interpolation Spaces
This lecture covers the concept of distribution and interpolation spaces, focusing on differential operators of finite order. It discusses the application of these concepts, such as the Fourier transform and the Schwartz space. The instructor explains the fundamental solutions for differential equations and the importance of boundary conditions. The lecture also delves into the Farrier transform and its application in partial differential equations. The content progresses to discuss the Schwartz space and the uniform continuity of functions. The lecture concludes with the verification of elements in distribution spaces and the differentiability of functions.