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This lecture covers the concepts of convolution and stability in the context of Signals & Systems II. It starts by discussing the well-posedness of convolution and the finite impulse response systems. The lecture then delves into causal systems, linear systems, and BIBO stability. It explains the geometric sequence, convolution operator, and compositional stability. The instructor also explores the support of signals, stability in the sense of L1, and the algebra of LTI operators.