Lawrence's late wife, singer Eydie Gormé, was his "partner on stage and in life" for more than 55 years.
The band's touring keyboardist since 2008 passed away on March 2 due to complications from a sudden illness.
The rocker was diagnosed with glioblastoma in late 2022.
She coached the Colombian superstar at age 15, when Shak was preparing to sing at Chile's Viña del Mar International Song Festival.
The musician's "Dance Outta My Head" went viral after revealing that all proceeds would go to her seven-year-old son, Loren.
She performed at the famed Tropicana club in the 1940s and '50s and sang alongside artists like Nat King Cole.
The 49-year-old Ukrainian-born piano player died on Tuesday.
"His boundless creative energy has touched so many over the whole world," the group wrote.
Ozawa won Best Opera Recording at the 58th Grammy Awards in 2016 for Ravel: L'Enfant et les Sortilèges.
The musician died peacefully at home of natural causes, his spokesperson said.
