Harmonic Analysis
Boundedness refers to the property of a function or sequence where there exists a real number that serves as an upper limit or lower limit, ensuring that the function or sequence does not diverge to infinity. This concept is crucial in understanding the stability and convergence of various summation methods and distributions, ensuring that outputs remain within a controlled range, which is essential for both Cesàro and Abel summability techniques as well as in the context of tempered distributions.
congrats on reading the definition of Boundedness. now let's actually learn it.