要解决Apache Beam JmsIO中的Avro序列化问题和无界源问题，可以采取以下步骤：

1. 导入相关的依赖项：

  org.apache.beam
  beam-sdks-java-io-jms
  2.33.0


  org.apache.beam
  beam-sdks-java-io-kafka
  2.33.0

2. 创建一个Avro消息对象。假设你的Avro消息定义为Message，可以按照如下方式创建一个消息对象：

import org.apache.avro.generic.GenericRecord;
import org.apache.avro.io.BinaryEncoder;
import org.apache.avro.io.DatumWriter;
import org.apache.avro.io.EncoderFactory;
import org.apache.avro.specific.SpecificDatumWriter;

public class Message {
  private String field1;
  private int field2;

  // Getters and setters

  public GenericRecord toAvroRecord() throws IOException {
    // Create an Avro record using GenericRecord
    // You can customize this method based on your Avro schema
    GenericRecord record = new GenericData.Record(Message.SCHEMA$);
    record.put("field1", field1);
    record.put("field2", field2);
    return record;
  }

  public byte[] toAvroBytes() throws IOException {
    // Convert Avro record to byte array
    DatumWriter datumWriter = new SpecificDatumWriter<>(Message.SCHEMA$);
    ByteArrayOutputStream outputStream = new ByteArrayOutputStream();
    BinaryEncoder encoder = EncoderFactory.get().binaryEncoder(outputStream, null);
    datumWriter.write(toAvroRecord(), encoder);
    encoder.flush();
    outputStream.close();
    return outputStream.toByteArray();
  }
}

3. 使用JmsIO来发送和接收Avro消息。以下是一个使用JmsIO发送和接收Avro消息的示例代码：

import org.apache.beam.sdk.Pipeline;
import org.apache.beam.sdk.io.jms.JmsIO;
import org.apache.beam.sdk.transforms.DoFn;
import org.apache.beam.sdk.transforms.ParDo;
import org.apache.beam.sdk.values.PCollection;

import javax.jms.ConnectionFactory;
import javax.jms.JMSException;
import javax.jms.Session;

public class JmsAvroExample {

  public static void main(String[] args) {
    Pipeline pipeline = Pipeline.create();

    // Create a JmsIO.Write transform to send Avro messages
    PCollection messages = ... // Create PCollection of Avro messages
    messages.apply(JmsIO.write()
        .withConnectionFactory(createConnectionFactory())
        .withDestinationFactory((session, element) -> session.createQueue("my-queue"))
        .withMessageCreator((session, element) -> session.createBytesMessage())
        .withMessageMapper((element, message) -> {
          try {
            // Set Avro message as bytes to JMS message
            byte[] avroBytes = element.toAvroBytes();
            message.writeBytes(avroBytes);
          } catch (IOException | JMSException e) {
            // Handle exception
          }
          return message;
        }));

    // Create a JmsIO.Read transform to receive Avro messages
    PCollection receivedMessages = pipeline.apply(JmsIO.read()
        .withConnectionFactory(createConnectionFactory())
        .withDestinationFactory((session) -> session.createQueue("my-queue"))
        .withMaxNumRecords(100)
        .withMessageMapper((message) -> {
          try {
            // Read Avro message from JMS message bytes
            byte[] avroBytes = new byte[(int) message.getBodyLength()];
            message.readBytes(avroBytes);
            return Message.fromAvroBytes(avroBytes);
          } catch (IOException | JMSException e) {
            // Handle exception
            return null;
          }
        }));

    // Apply transforms on receivedMessages

    pipeline.run();
  }

  private static ConnectionFactory createConnectionFactory() {
    // Create and return a ConnectionFactory based on your JMS provider configuration
    return ...;
  }
}

以上代码示例演示了如何使用JmsIO来发送和接收Avro消息。你需要根据你的实际情况自定义createConnectionFactory()方法和相关的JMS配置。另外，你可能还需要根据你的Avro消息定义自定义Message类中的方法。