Russia's Prime Minister Dmitry Medvedev, Britain's Prime Minister David Cameron, French President Francois Hollande and Japan's Crown Prince Naruhito will visit on Saturday and Sunday
to offer condolences.
Obama will cut short a visit to India to pay his respects instead of Vice President Joe Biden, who had been scheduled to fly in from Washington, the White House said on Saturday. Muslim leaders paid their respects on Friday at Abdullah's  funeral in Riyadh.
Salman takes charge in Saudi Arabia at a time of deep uncertainty in the kingdom, surrounded by a region in tumult and nervous about both Iranian influence and the spread of Islamist militants.
The kingdom's role in orchestrating Arab support for joint action with Western countries against the Islamic State group has won praise in Washington, while its role as biggest oil exporter is particularly important at this time of market instability.
Saudi jets have bombed IS targets in Syria, its top clerics have issued repeated denunciations of the militant group despite similarities between its ideology and Wahhabism, and the police have detained thousands of militant suspects in the past decade.

Salman pledged on Friday to maintain the kingdom's policies and kept most of Abdullah's cabinet, including the oil, finance and foreign affairs ministers, in place.
Saudi Arabia observes no official period of mourning, in keeping with the ascetic traditions of its official Wahhabi school of Sunni Islam, but the royal court has announced that it will receive condolences and pledges of allegiance until Sunday.

The king's rapid appointments of half-brother Muqrin, 69, as Crown Prince and nephew Mohammed bin Nayef, 55, as Deputy Crown Prince, appeared to resolve for many years to come speculation that succession disputes might destabilise the ruling family.

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