Rest – How to get file name from Sharepoint Asset Library

You should use query as it described here: http://www.salesforce.com/us/developer/docs/api/Content/sforce_api_objects_openactivity.htm

e.g.

List<Account> a = [SELECT (SELECT ActivityDate,
                                  Description,
                                  Subject
                           FROM OpenActivities)
                   FROM Account];

 for (Account a: l) {
     System.debug(a.OpenActivities);
 }

There are at least two options available to return items from a specific folder:

1) Using /_api/web/getfolderbyserverrelativeurl('<serverrelativefolderurl>') endpoint

The following example returns all the files along with associated list items from a specific folder:

/_api/web/getfolderbyserverrelativeurl('<serverrelativefolderurl>')/files?$expand=ListItemAllFields

2) using FolderServerRelativeUrl property of CAML query

function getListItems(webUrl,listTitle, queryText,folderUrl) 
{
    var viewXml = '<View><Query>' + queryText + '</Query></View>';
    var url = webUrl + "/_api/web/lists/getbytitle('" + listTitle + "')/getitems"; 
    var queryPayload = {  
               'query' : {
                      '__metadata': { 'type': 'SP.CamlQuery' }, 
                      'ViewXml' : viewXml,
                      "FolderServerRelativeUrl": folderUrl 
               }
    };

    return $.ajax({
           url: url,
           method: "POST",
           data: JSON.stringify(queryPayload),
           headers: {
              "X-RequestDigest": $("#__REQUESTDIGEST").val(),
              "Accept": "application/json; odata=verbose",
              "content-type": "application/json; odata=verbose"
           }
     });
}

Usage

getListItems(_spPageContextInfo.webAbsoluteUrl,'Pages', '', '/Pages/Archive')
.then(function(data)
{
     var items = data.d.results;
     for(var i = 0; i < items.length;i++) {
         console.log(items[i].Title);
     }    
})
.fail(function(error){
    console.log(JSON.stringify(error));
});