Explore sampling theory, interpolation techniques, and uncertainty principles in this 58-minute lecture by Mishko Mitkovski from Clemson University. Delve into the channel sampling formula, sampling measures, and surface density concepts. Discover the main ideas behind these principles and their applications in various fields. Examine the Wiener process, orthonormal basis, and their consequences in control theory. Gain insights into concrete examples and complete solutions, followed by a Q&A session to deepen your understanding of these complex mathematical concepts.