Thanks to Luksprog, I was able to find a solution.
AuthenticationDialog.java:
public class AuthenticationDialog extends DialogFragment implements OnClickListener {
    public interface AuthenticationDialogListener {
        void onAuthenticationLoginClicked(String username, String password);
        void onAuthenticationResetClicked(String username);
    }
    private AuthenticationDialogListener mListener;
    private EditText mUsername;
    private EditText mPassword;
    private Button mReset;
    private Button mLogin;
    public View onCreateView(LayoutInflater inflater, ViewGroup container, Bundle savedInstanceState) {
        View view = inflater.inflate(R.layout.authentication_dialog, container);
        this.getDialog().setTitle(R.string.login_title);
        mUsername = (EditText) view.findViewById(R.id.username_field);
        mPassword = (EditText) view.findViewById(R.id.password_field);
        mReset = (Button) view.findViewById(R.id.reset_button);
        mLogin = (Button) view.findViewById(R.id.login_button);
        mReset.setOnClickListener(this);
        mLogin.setOnClickListener(this);
        return view;
    }
    public void onAttach(Activity activity) {
        super.onAttach(activity);
        // Verify that the host activity implements the callback interface
        try {
            // Instantiate the NoticeDialogListener so we can send events to the host
            mListener = (AuthenticationDialogListener) activity;
        } catch (ClassCastException e) {
            // The activity doesn't implement the interface, throw exception
            throw new ClassCastException(activity.toString()
                    + " must implement AuthenticationDialogListener");
        }
    }
    public void onClick(View v) {
        if (v.equals(mLogin)) {
            if (mUsername.getText().toString().length() < 1 || !mUsername.getText().toString().contains("@")) {
                Toast.makeText(getActivity(), R.string.invalid_email, Toast.LENGTH_SHORT).show();
                return;
            } else if (mPassword.getText().toString().length() < 1) {
                Toast.makeText(getActivity(), R.string.invalid_password, Toast.LENGTH_SHORT).show();
                return;
            } else {
                mListener.onAuthenticationLoginClicked(mUsername.getText().toString(), mPassword.getText().toString());
                this.dismiss();
            }
        } else if (v.equals(mReset)) {
            mListener.onAuthenticationResetClicked(mUsername.getText().toString());
        }
    }
}
authentication_dialog.xml:
<?xml version="1.0" encoding="utf-8"?>
<LinearLayout xmlns:android="http://schemas.android.com/apk/res/android"
    android:layout_width="wrap_content"
    android:layout_height="wrap_content"
    android:orientation="vertical" >
    <EditText
        android:id="@+id/username_field"
        android:inputType="textEmailAddress"
        android:layout_width="match_parent"
        android:layout_height="wrap_content"
        android:layout_marginTop="10dp"
        android:layout_marginLeft="4dp"
        android:layout_marginRight="4dp"
        android:layout_marginBottom="4dp"
        android:hint="@string/username"
        />
    <EditText
        android:id="@+id/password_field"
        android:inputType="textPassword"
        android:layout_width="match_parent"
        android:layout_height="wrap_content"
        android:layout_marginTop="4dp"
        android:layout_marginLeft="4dp"
        android:layout_marginRight="4dp"
        android:layout_marginBottom="12dp"
        android:fontFamily="sans-serif"
        android:hint="@string/password"
        />
    <View
        android:layout_width="fill_parent"
        android:layout_height="1dip"
        android:background="?android:attr/dividerVertical" 
        />
    <LinearLayout 
        style="?android:attr/buttonBarStyle"
        android:layout_width="match_parent"
        android:layout_height="wrap_content"
        android:orientation="horizontal"
        android:paddingTop="0dp"
        android:measureWithLargestChild="true" >
        <Button 
            android:id="@+id/reset_button"
            style="?android:attr/buttonBarButtonStyle"
            android:layout_height="wrap_content"
            android:layout_width="0dp"
            android:layout_weight="1.0"
            android:text="@string/reset"
            />
        <Button 
            android:id="@+id/login_button"
            style="?android:attr/buttonBarButtonStyle"
            android:layout_height="wrap_content"
            android:layout_width="0dp"
            android:layout_weight="1.0"
            android:text="@string/login"
            />
    </LinearLayout>
</LinearLayout>