I am looking for textbook suggestions for studying the dirac delta function and relation distribution functions in detail. The level could be upper undergrad or graduate level, I have studied this in my previous courses but I am looking to study it in detail to understand the mathematical motivation for it. Thanks in advance!
2026-03-26 04:16:02.1774498562
Textbook suggestions for in-depth treatment of dirac delta function
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Kolmogorov and Fomin's Introductory Real Analysis does a nice job introducing the ideas with the rigor of distributions in their section on Generalized Functions. This book is also a nice introduction to functional analysis.
Another place you might look, for a more general, in-depth, and measure theoretic perspective, is Folland's Real Analysis, chapter 3.