====== Distributions ======


<tabbox Layman?> 

A distribution is a generalized function. 
  
<tabbox Student> 

 
<tabbox Researcher> 

  * [[http://phys.lsu.edu/graceland/faculty/oconnell/PDFfiles.sav/137.%20Distribution%20Functions%20in%20Physics%3B%20Fundamentals.pdf|DISTRIBUTION FUNCTIONS IN PHYSICS: FUNDAMENTALS]] by M. HILLERY et. al. 

<tabbox Why is it interesting?> 

Distributions are the correct mathematical tools to describe fields in [[theories:quantum_field_theory:canonical|quantum field theory]]. 

<tabbox FAQ>
--> Does the notion "Dirac Delta Function" make any sense? #

Yes, have a look at [[http://jakobschwichtenberg.com/origin-of-the-term-delta-function/|this article]]. 
<--


<tabbox History>

Most people associate the origin of the delta function with the great physicist Paul Dirac, but in fact, it was introduced into mathematics 100 years earlier by Fourier and Cauchy. See  [[http://homepages.warwick.ac.uk/staff/David.Tall/pdfs/dot2010x-katz-cauchydirac.pdf|WHO INVENTED DIRAC’S DELTA FUNCTION?]] MIKHAIL G. KATZ AND DAVID TALL


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