Spring bean not injected into CXF web service, Why?

I am writing a RESTful service (using CXF on JBoss) in which I have inject another class using Spring (Autowired). But the class is not getting injected and is null.

Web Service Interface and Class (Where injection needs to happen)

package com.company.project.web;

@Path("/myws")
public interface IMyWebService {    
   @POST
   @Path("/doSomething")    
   @Consumes("application/json")
   @Produces("application/json")
    MyResponse doSomething(MyRequest myRequest)
}

@Service("myWebService")
public class MyWebService implements IMyWebService {    
    @Autowired
    private IMyCore myCore;

    public MyResponse doSomething(MyRequest myRequest) {
      ....
    }
}

That which has to be injected

package com.company.project.biz;

public interface IMyCore {
   MyResponse doSomething(MyRequest myRequest);
}

@Component("myCore")
public class MyCore implements IMyCore {
    public MyResponse doSomething(MyRequest myRequest) {
            .....
    }
}

Beans.xml

<?xml version="1.0" encoding="UTF-8"?>
<beans xmlns="http://www.springframework.org/schema/beans"
    xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"
    xmlns:jaxws="http://cxf.apache.org/jaxws"
    xmlns:jaxrs="http://cxf.apache.org/jaxrs"
    xmlns:context="http://www.springframework.org/schema/context"
    xsi:schemaLocation="
    http://www.springframework.org/schema/beans http://www.springframework.org/schema/beans/spring-beans.xsd
    http://cxf.apache.org/jaxws http://cxf.apache.org/schemas/jaxws.xsd    
    http://cxf.apache.org/jaxrs http://cxf.apache.org/schemas/jaxrs.xsd
    http://www.springframework.org/schema/context http://www.springframework.org/schema/context/spring-context.xsd">

    <import resource="classpath:META-INF/cxf/cxf.xml" />
    <import resource="classpath:META-INF/cxf/cxf-servlet.xml" />
    <import resource="classpath:META