George Harrison's family thanked fans for their affectionate tributes and invited them to take part Monday in a minute of meditation in tribute to the late Beatle.

"We are deeply touched by the outpouring of love and compassion from people around the world. The profound beauty of the moment of George's passing — of his awakening from this dream — was no surprise to those of us who knew how he longed to be with God. In that pursuit, he was relentless," wife Olivia Harrison and son Dhani Harrison said.

The statement was released late Saturday by family friend Gavin de Becker. Harrison died of cancer Thursday in Los Angeles. He was 58. A family funeral has already been held, and no details were released.

Harrison's widow and son asked fans to join them for a tribute.

"Olivia and Dhani invite you to join them in a minute of meditation in honor of George's journey, wherever you are on Monday at 1:30 p.m. PST," De Becker said.

The intensely private and spiritual Harrison was known as the quiet Beatle.