Abstract (EN):
Further developments of the results on the Kontorovich-Lebedev integral transformation are given. In particular, properties of the boundedness, compactness in Lv,p, 1 ¿ p ¿ ¿, ¿ < 1, are established. The Bochner type representation theorem is proved. An example of the Fredholm integral equation associated with the Kontorovich-Lebedev operator is considered. © 2003 Rocky Mountain Mathematics Consortium.
Language:
English
Type (Professor's evaluation):
Scientific