Changes have been made in Git (master):

commit ce0ea0cee123b7ccacfcd29c41fad5ca37d45ad6
Author: Jan Schneider <jan@horde.org>
Date:   Tue Aug 19 22:57:05 2014 +0200

     [jan] Fix iTip MIME viewer actions in basic view (Bug #12677).

     Conflicts:
             imp/docs/CHANGES
             imp/package.xml

  imp/docs/CHANGES |    1 +
  imp/package.xml  |    1 +
  2 files changed, 2 insertions(+), 0 deletions(-)

http://github.com/horde/horde/commit/ce0ea0cee123b7ccacfcd29c41fad5ca37d45ad6

Changes have been made in Git (FRAMEWORK_5_2):

commit 85197aa4ce79f69e5b1770a8faf5b4afdcdeaea7
Author: Jan Schneider <jan@horde.org>
Date:   Tue Aug 19 22:57:05 2014 +0200

     [jan] Fix iTip MIME viewer actions in basic view (Bug #12677).

  imp/docs/CHANGES |    1 +
  imp/package.xml  |    2 ++
  2 files changed, 3 insertions(+), 0 deletions(-)

http://github.com/horde/horde/commit/85197aa4ce79f69e5b1770a8faf5b4afdcdeaea7

Changes have been made in Git (FRAMEWORK_5_2):

commit 9efd301748a044076d5b50b46880a635ac8a3afa
Author: Jan Schneider <jan@horde.org>
Date:   Tue Aug 19 22:49:26 2014 +0200

     Close the form after the top, not the bottom navbar (Bug #12677).

     If we close the form at the bottom of the page, this breaks any 
forms embedded
     in MIME views. And it's not necessary to have the form fields of 
the bottom
     navbar inside the action form anyway, because any form handling is setting
     hidden fields or updating fields in the other navbar via JS now.

  .../basic/message/navbar_navigate.html.php         |    2 +-
  1 files changed, 1 insertions(+), 1 deletions(-)

http://github.com/horde/horde/commit/9efd301748a044076d5b50b46880a635ac8a3afa

Changes have been made in Git (master):

commit 0f05d4a913f9e7de46840e17f9ea8cc864a8bc2f
Author: Jan Schneider <jan@horde.org>
Date:   Tue Aug 19 22:49:26 2014 +0200

     Close the form after the top, not the bottom navbar (Bug #12677).

     If we close the form at the bottom of the page, this breaks any 
forms embedded
     in MIME views. And it's not necessary to have the form fields of 
the bottom
     navbar inside the action form anyway, because any form handling is setting
     hidden fields or updating fields in the other navbar via JS now.

  .../basic/message/navbar_navigate.html.php         |    2 +-
  1 files changed, 1 insertions(+), 1 deletions(-)

http://github.com/horde/horde/commit/0f05d4a913f9e7de46840e17f9ea8cc864a8bc2f

Inviting by creation is not the problem. If I generally invite 
someone, and that person pushes the accept- (or  on revoke-) button 
for that event, nothing happens.

If it should be, that the event should be copied in his calendar or 
the status of the event should change in my calendar (like it does in 
dynamic view).

In log file (basic view):

The event:
2013-12-04T14:10:37+01:00 DEBUG: HORDE [kronolith] SQL  (0,0025s)
         INSERT INTO kronolith_events (event_id, event_uid, event_creator_id,
           event_title, event_description, event_location, event_timezone,
           event_url, event_private, event_status, event_attendees,
           event_resources, event_modified, event_start, event_end, 
event_allday,
           event_alarm, event_alarm_methods, event_recurtype, 
calendar_id) VALUES
           ('aoZukHimHDPuKaZmbqB3AQ1',
           '20131204141037.5OhGJXss6W19XZZOcK4sgw1@domain.de', 'cne',
           'Test', '', '', NULL, '', 0, '2',
           
'a:1:{s:18:"Testuser@domain.de";a:3:{s:10:"attendance";i:1;s:8:"respon
           se";i:1;s:4:"name";s:12:"Testuser";}}', 'a:0:{}', 1386162636,
           '2013-12-05 12:00:00', '2013-12-05 13:00:00', 0, 0, 'a:0:{}', 0,
           'WofMsqQg1ivgBxUoW2qJKQ1') [pid 29832 on line 558 of 
"/usr/share/pear/Horde/Db/Adapter/Base.php"]

Sending the event invitation:
2013-12-04T14:10:38+01:00 DEBUG: HORDE [kronolith] Ihre 
Terminbenachrichtigung an "Testuser" <Testuser@domain.de> wurde 
erfolgreich versendet. [pid 29832
on line 27 of 
"/usr/share/pear/Horde/Core/Notification/Handler/Decorator/Hordelog.php"]

After that Testuser accepts the event but nothing seems to happen.

In dynamic view Testuser accepts and the event is copied in his calendar.:
2013-12-04T14:59:43+01:00 DEBUG: HORDE [kronolith] SQL  (0,0031s)
         INSERT INTO kronolith_events (event_id, event_uid, event_creator_id,
           event_title, event_description, event_location, event_timezone,
           event_url, event_private, event_status, event_attendees,
           event_resources, event_modified, event_start, event_end, 
event_allday,
           event_alarm, event_alarm_methods, event_recurtype, 
calendar_id) VALUES
           ('z7DeiOfZjBmT6pn2Fdtckg9',
           
'20131204145836.qk8bQ_DAuCwYcB6wPRODvg9@rvmail.ruhrverband.de', 
'Testuser',
           'Test2', '2', '', NULL, '', 0, 2, 'a:0:{}', 'a:0:{}', 1386165582,
           '2013-12-05 15:00:00', '2013-12-05 16:00:00', 0, 0, 'N;', 0,
           'tWr817M2rE12n4aLPblQ-Q2') [pid 27242 on line 558 of 
"/usr/share/pear/Horde/Db/Adapter/Base.php"]

Where can I find that? You don´t mean the user-settings in kronolith 
for notifications?!

In basic view you explicitly have to set a option to send out invite 
mails per event when creating it. This is option is not set per default.

I have setup another instance of horde with a new database. Here it is 
the same: I invite another user to a date, he gets the mail with the 
hint to accept and put the date into his calendar. But the mail (the 
acception) is not send and the date is not insert in his calendar. All 
this in basic view. No problem with this in dynamic view!

When I f.e. accept an event in basic view, the invitor gets no 
reaction by mail as he does when I accept the event in dynamic view.

No errors in any logs.