At his death in 1971, trumpeter Louis Armstrong was much loved as a celebrity. Yet as a musician, he no longer commanded wide respect among the general public. To most people, he was the man with the toothy smile who made occasional appearances in television and movies usually singing what had become his signature songs “Hello, Dolly” and “It’s a Wonderful World.” Jazz enthusiasts, however, had another take on the passing of Louis Armstrong. To them he was the New Orleans-born musician who had, along with Bix Biederbecke, introduced the solo to jazz. With records like “Struttin’ with Some Barbecue,” “I’m not Rough,” and “Potato Head Blues,” Louis became the first great jazz influence. As music critic Terry Teachout has written, Louis Armstrong was “the player other players copied.” Still, at his death, few really knew what Louis had accomplished. In his honor, radio and television broadcasts played “Hello Dolly,” not “West-End Blues,” his 1928 recording that starts off with what may be the most famous horn solo in jazz.