It is valid Java, but this code lets you specify only a single exception type, while exception specifications can (and usually do) have multiple types. And Java doesn't have the equivalent of C++ template parameter packs.

The other problem with this approach is that it requires the caller to explicitly specify all the exceptions thrown by the function/object being wrapped. So every time you do map() or fold(), you have to spell out the full exception spec for the closure you're passing in. And god help you if there's nested maps...