Yes. If you are considered as tax resident in Norway and taxable on your global investment income, Norway as a country of your residence is responsible to ensure avoidance of any double taxation. Please notice that the amount of deduction for tax at source paid outside Norway may be limited to the rate stated in the tax treaty agreement between Norway and country of income source.
Exit taxation rules will also apply if you transfer shares etc. to spouse who is tax resident abroad.
If you are considered as a tax resident in Norway, you are responsible to disclose all the information of global incomes and wealth to the tax authorities in your Norwegian tax return. If any tax is paid on the income outside Norway, avoidance of double taxation should be claimed in the Norwegian tax return. If Norway’s right to tax the income is limited in according to provisions in the tax treaty between Norway and the country of property’s location, the claim of not tax liability should be put forward in the tax return.