The cathedral will be holding a special online service of commemoration at 5.30pm on Friday April 16.
It will broadcast live from the cathedral, and can be watched via its website, Facebook page and YouTube channel.
Letters of condolence from the Lord-Lieutenant of Hampshire and from the county council have been sent to Her Majesty The Queen, offering the county's sympathies.
These can be viewed on the council's website.
HM Lord-Lieutenant of Hampshire, Nigel Atkinson Esq, said: “The death of His Royal Highness The Prince Philip, Duke of Edinburgh has seen a huge outpouring of grief across Hampshire together with the nation as a whole.