Prince George, Princess Charlotte and Prince Louis were all involved in a touching gesture for Kate as she returned home this week.
The Princess of Wales underwent a planned and successful operation at the London Clinic on January 16.
There have been no further details shared about the health concern and Kensington Palace have asked for Kate's privacy to be respected.
The princess was discharged from hospital on Monday and will continue her recovery process at home.
Prince George, Princess Charlotte and Prince Louis were all involved in a touching gesture for Kate as she returned home this week.
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The royal is not expected to return to public duties until after Easter.
Earlier this week, the princess was reunited with her children Prince George, Princess Charlotte and Prince Louis for the first time in two weeks.
The children were all involved in a sweet gesture for their mother, according to a source.
The source told US Weekly: "They’ve all made her some ‘get well soon’ cards along with some of her favourite snacks."
The royal is not expected to return to public duties until after Easter.
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Kate's mother Carole Middleton celebrated her 69th birthday on Wednesday.
As the Princess of Wales continues her recovery she is expected to lean on her parents Carole and Michael Middleton for support.
A source told People Magazine: "Her parents are an enduring factor in the upbringing of their grandchildren.
"And they will be a reassuring presence when she goes back to Windsor to recuperate."
Kate's mother Carole Middleton celebrated her 69th birthday on Wednesday.
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Michael Cole stated that Kate may spend time at the Middleton family home during the coming weeks.
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It comes as royal commentator Michael Cole stated that Kate may spend time at the Middleton family home during the coming weeks.
Cole said: "She's gone off straight to Adelaide Cottage in the middle of Windsor Great Park to recuperate.
"That, of course, is where her children are, they go to school locally and she'll want to be there, but it's not an ideal place for recuperation.
"It's not terribly big. In fact, there's no room inside the house for the nanny, she has to live in an outbuilding."
He added: “Catherine's parents have a larger house not far away in Berkshire, but she’s on the way to recovery."