tempered distribution
C24402
concept
A tempered distribution is a continuous linear functional on the Schwartz space of rapidly decreasing smooth test functions, generalizing functions and allowing the Fourier transform to be extended to a broad class of generalized functions.
All labels observed (1)
| Label | Occurrences |
|---|---|
| tempered distribution canonical | 1 |
Description generation (CDg)
The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.
Instruction
generate a one-sentence description for a given conceptual class. # Response Format Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: tempered distribution
Generated description
A tempered distribution is a continuous linear functional on the Schwartz space of rapidly decreasing smooth test functions, generalizing functions and allowing the Fourier transform to be extended to a broad class of generalized functions.
Instances (1)
| Instance | Via concept surface |
|---|---|
| Dirac delta function | — |