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Glite Dictionary
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hyperfunction

hyperfunction

9.9
An advanced math object made from boundary values of complex functions
  • noun
  • /ˈhaɪpərˌfʌŋkʃən/
  • Formal
translation icon : hiperfunción
  • The professor explained how a hyperfunction can be represented as the difference of boundary values of holomorphic functions.

Examples

  • Sato introduced the concept of hyperfunction to extend the theory of distributions in mathematics.

  • Modern complex analysis often uses hyperfunctions to solve advanced problems in mathematical physics.

  • The concept of hyperfunction is crucial in complex analysis.

  • Can you explain what a hyperfunction is?

  • Sato introduced the concept of hyperfunction to extend the theory of distributions in mathematics.

  • The professor explained how a hyperfunction can be represented as the difference of boundary values of holomorphic functions.

  • Modern complex analysis often uses hyperfunctions to solve advanced problems in mathematical physics.

Surface Forms

hyperfunction singular
hyperfunctions plural

Morphology

hyperfunction = function (semi-transparent) = hyper + function

The word is transparently built from 'hyper-' + 'function', but the mathematical sense is a specialized technical term that most learners would not infer fully from the parts.

Etymology

Hyperfunction comes from Greek hyper- 'over' and function 'work', and a helpful way to remember the math sense is to think of a function that goes 'beyond' the usual kind; it is an extended, more powerful form of a function used when ordinary functions are not enough.