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aws-lambda-dotnet
Libraries, samples and tools to help .NET Core developers develop AWS Lambda functions.
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InfluxDB
Power Real-Time Data Analytics at Scale. Get real-time insights from all types of time series data with InfluxDB. Ingest, query, and analyze billions of data points in real-time with unbounded cardinality.
I'm assuming API's are REST APIs. Those sound like excellent use cases for running as Lambda functions. If the API's are an ASP .NET Core Web API project it is possible to deploy that to Lambda using the Amazon.Lambda.AspNetCoreServer, https://github.com/aws/aws-lambda-dotnet/tree/master/Libraries/src/Amazon.Lambda.AspNetCoreServer, NuGet package. That can be a quick way to get something working and then later choose to rearchitect to a smaller more micro services architecture if necessary.