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reference request - What are the applications of functional analysis ...
2015年12月2日 · The book "History of Functional Analysis" by J. Dieudonne connects functional analysis to its roots in differential equations, harmonic analysis and distribution theory. It …
intuition - What is functional analysis in simple words?
2016年3月8日 · Algebraic analysis is finding an unknown [ function ] in terms of an infinite polynomial. The unknown function is specified by some kind of differential equation. Functional …
Video lectures on Functional Analysis - Mathematics Stack Exchange
2015年10月11日 · There are two courses on Functional Analysis by a retired professor, S. Kesavan of The Institute of Mathematical Sciences, Chennai, India. The first course is titled …
Good book for self study of functional analysis
2015年5月24日 · You might also try the Dover reprint of Griffel, Applied Functional Analysis, under $20. It is a nice read for someone with only an undergrad analysis course. My favorite, …
Four Pillars of Functional Analysis - Mathematics Stack Exchange
2018年4月1日 · Hahn-Banach Theorem: It is so much important because it provides us with the linear functionals to work on various spaces as Functional Analysis is all about the study of …
Any good, undergraduate level introductions to Functional …
2014年4月7日 · $\begingroup$ In my opinion (and Halmos') the best way to study Functional Analysis is by a problem solving approach. Halmos' A Hilbert space problem book may not be …
functional analysis - Alternatives to Reed & Simon's book
2021年7月20日 · Breziz book on functional analysis is also a great book, specially for a PDE oriented person; volume 4 of Simon's analysis books has classic and new material and …
functional analysis - A proof of the Riesz representation theorem ...
Here's another proof of the Riesz representation theorem. This isn't what you asked for, but the proof you give seems terribly intricate to me and not as intuitive as one would like.
Newest 'functional-analysis' Questions - Mathematics Stack …
Functional analysis, the study of infinite-dimensional vector spaces, often with additional structures (inner product, norm, topology), with typical examples given by function spaces. The …
Usefulness of Functional analysis - Mathematics Stack Exchange
2015年4月5日 · Furthermore functional analysis also has it's role in multiple domains in mathematics itself. For example, functional analysis has it's use in classifying infinite groups. …