Official accounts of recent clashes between police and black insurgents leave little doubt that Rhodesia's five-year-old guerrilla wear has come to the capital.

Until the past few months, the war was generally confined to outlying areas near Rhodesia's border with Zambia and Mozzambique where guerrilla forces are based.

But violence has been increasing here as well and on Wednesday a senior police spokesman described a series of clashed in and around the capital in which four persons were killed.

In Lusaka, Zambia, the Patriotic Front guerrilla alliance claimed that it had killed 29 Rhodesian soldiers and police inside Salisbury this week. Its description of the clashes were similar to those described by the police, although the casualty figures were different.

According to police, the latest incidents began Monday in the black township of Highfield when policemen shot and killed a man who reportedly was brandishing a grenade.

The next day, an alleged associate of the man was killed when he fled from police attempting to detain him. Later the same day, there were shootouts at a house believed to be occupied by insurgents and at a roadblock.

The police spokesman said an insurgent confronted at the roadblock wounded three policemen and three civilians, then later killed two bystanders.

The guerrilla statement in Lusaka said insurgents had "mowed down several of the enemy soldiers" when a suspected hideout was surrounded. Later, it said, Front "fighters completely outmaneuvered" soldiers and police at a roadblock.

Meanwhile, South African Foreign Affairs Minister Pik Botha met with the four members of Rhodesia's biracial transitional government.

It was also announced here that guerrilla warfare has forced the closure of 947 black schools in the countryside, leaving 25 percent of the 943,000 black school children without classrooms. The government also announced the closing of three white schools because of the exodus of whites from the territory.