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Abstract

The appendix contains a summary of topological and functional analysis results in reference to the description of the topology and equivalent characterizations of convergence in spaces of test functions and in spaces of distributions. In addition, a variety of foundational results from calculus, measure theory, and special functions originating outside the scope of this book are included here.

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References

  1. H. L. Royden, Real Analysis, Macmillian Publishing Co., Inc., New York, 1968.

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  2. W. Rudin, Real and Complex Analysis, 2nd edition, International Series in Pure and Applied Mathematics, McGraw-Hill, Inc., 1986.

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  3. W. Rudin, Functional Analysis, 2nd edition, International Series in Pure and Applied Mathematics, McGraw-Hill, Inc., 1991.

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Mitrea, D. (2013). Appendix. In: Distributions, Partial Differential Equations, and Harmonic Analysis. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-8208-6_13

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