Functional Analysis in Applied Mathematics and Engineering

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Targeting control specialists in engineering fields, this book provides a thorough introduction to functional analysis, starting with fundamental function spaces and operators. It explores problems within Hilbert spaces and includes proofs of the spectral theorem for unbounded operators with compact inverses. The text also delves into abstract evolution semigroup theory for time-dependent linear partial differential operators, laying a solid groundwork for advanced topics that follow, making it a valuable resource for applied mathematics in engineering contexts.