Could you check my understanding of these facts please:(adsbygoogle = window.adsbygoogle || []).push({});

First is there a difference between the notationsand"function space"? Methinks they are one."Differentiation Class"

Second, a function ##f## is said to be in ##C^k \iff \ f^{(k)}## exists and is in ##C^0##.

Third, if a function has discontinuities then it belong to ##C^{-1}##

Thank you

**Physics Forums - The Fusion of Science and Community**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Function Spaces C^k

Loading...

Similar Threads - Function Spaces | Date |
---|---|

A L^2(0,1) space function | Feb 14, 2017 |

I Metrics which generate topologies | Jan 11, 2017 |

Munkres Topology - Chapter 7 - Complete Metric Spaces and Function Spaces | Jan 15, 2013 |

Functional analysis - question about separable dual spaces | Oct 1, 2012 |

Calculus of Variation on Local Regions of Function Space | Aug 12, 2012 |

**Physics Forums - The Fusion of Science and Community**