The recommended technology stack for implementing the Galileo API in a multi-channel travel platform includes:

1. Backend Technology: Use server-side technologies such as Node.js, Python, or Java to handle API requests and manage data.

2. Database: Implement a relational database (e.g., MySQL, PostgreSQL) or a NoSQL database (e.g., MongoDB) to store and manage travel data.

3. API Gateway: Utilize an API gateway (e.g., Kong, AWS API Gateway) for managing and routing API requests.

4. Integration Middleware: Deploy middleware solutions to handle communication between the Galileo API and other system components.

5. Frontend Technology: Use modern frontend frameworks (e.g., React, Angular, Vue.js) to build user interfaces for accessing travel services.

6. Cloud Services: Leverage cloud platforms (e.g., AWS, Azure, Google Cloud) for scalability and hosting.

7. Security: Implement security best practices, including data encryption, API security measures, and secure authentication.

For further assistance, Provab’s API Integration Services can support the implementation of the Galileo API.

In summary, the recommended stack includes backend technology, databases, API gateways, integration middleware, frontend technology, cloud services, and security measures.