# Applications of Functional Analysis ?

• Jul 7th 2012, 01:24 AM
azari123
Applications of Functional Analysis ?
Hi guys,

I am new to the forum,

I have done a bit of reading on functional analysis lately.So I was wondering whether Functional Analysis can be related to computer science in any way ?

Can any body please tell me about applications of functional analysis in other fields of science and technology ?
• Jul 25th 2012, 09:30 AM
HallsofIvy
Re: Applications of Functional Analysis ?
Functional analysis is used a lot in differential equations and integral equations. It is also used in "error analysis" so, as far as "computer science" is concerned, could be important in analyzing algorithms.
• Jul 25th 2012, 09:55 PM
azari123
Re: Applications of Functional Analysis ?
Thank you very much for the reply.
• Aug 3rd 2012, 01:42 AM
kraj8995
Re: Applications of Functional Analysis ?
Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (e.g. inner product, norm, topology, etc.) and the linear operators acting upon these spaces and respecting these structures in a suitable sense. The historical roots of functional analysis lie in the study of spaces of functions and the formulation of properties of transformations of functions such as the Fourier transform as transformations defining continuous, unitary etc. operators between function spaces. This point of view turned out to be particularly useful for the study of differential and integral equations.
BITSAT question papers
• Aug 3rd 2012, 02:44 AM
a tutor
Re: Applications of Functional Analysis ?
Quote:

Originally Posted by kraj8995
Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (e.g. inner product, norm, topology, etc.) and the linear operators acting upon these spaces and respecting these structures in a suitable sense. The historical roots of functional analysis lie in the study of spaces of functions and the formulation of properties of transformations of functions such as the Fourier transform as transformations defining continuous, unitary etc. operators between function spaces. This point of view turned out to be particularly useful for the study of differential and integral equations.
BITSAT question papers

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