Provide support for our correlation, authentication, exception handling... in Azure Functions with invocation filters

[stijnmoreels]

Is your feature request related to a problem? Please describe.
With the HTTP correlation, we have chosen to extract the functionality in a service so it can be used inside the Azure Functions environment. This is a good (temp) solution, but we can do better.

Describe the solution you'd like
While it's still in preview, we should consider using the FunctionInvocationFilterAttribute which will allow us to run functionality just like in middleware components when the function is triggered.

Describe alternatives you've considered
Extensions on the HttpRequest, base classes, additional services so we can use other functionality of the web API library.

Additional context
Azure/azure-webjobs-sdk#1284

[stijnmoreels]

We will be able to use the regular Azure Functions middleware for this, but some critical features are missing. (Like extracting the HTTP data from an FunctionContext.)
See: Azure/azure-functions-dotnet-worker#414

[stijnmoreels]

Implementing an IFunctionsWorkerMiddleware will be a better approach, closing this in favor of that.