integral operator
C27224
concept
An integral operator is a mapping that transforms a function into another function by integrating it against a given kernel over a specified domain.
All labels observed (7)
| Label | Occurrences |
|---|---|
| integral operator canonical | 2 |
| boundary integral operator | 1 |
| family of linear operators | 1 |
| integral kernel | 1 |
| kinetic theory operator | 1 |
| singular integral operator | 1 |
| smoothing operator | 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: integral operator
Generated description
An integral operator is a mapping that transforms a function into another function by integrating it against a given kernel over a specified domain.
Instances (8)
| Instance | Via concept surface |
|---|---|
| Boltzmann collision operator | — |
| Markov semigroup | family of linear operators |
|
Hilbert–Schmidt operators
surface form:
Hilbert–Schmidt operator
|
— |
|
Green's functions
surface form:
Green's function
|
integral kernel |
| Riesz transforms | singular integral operator |
| Landau collision operator | kinetic theory operator |
| Steklov operator | boundary integral operator |
| Steklov function | smoothing operator |