Dic: admittedly

■ used, especially at the beginning of a sentence, when you are accepting that something is true.

• Admittedly, it is pretty expensive, but you don't need to use much. 
• Admittedly, Venice wasn't a very big place, but there was little chance of meeting her again accidentally.

■ You use admittedly when you are saying something which weakens the importance or force of your statement.

• It's only a theory, admittedly, but the pieces fit together...

■ used when you are admitting that something is true.

• The technique is painful, admittedly, but it benefits the patient greatly.
• This has led to financial losses, though admittedly on a fairly small scale.

■

1. admit: to agree that something is true, especially unwillingly.
2. admittedly: used when you are agreeing that something is true, especially unwillingly:

• Admittedly, I could have tried harder but I still don't think all this criticism is fair.

■ used for saying that you admit something is true, especially when this makes your main idea weaker:

• I'm sure it was her although, admittedly, she was wearing a different coat.

... OALD, COBUILD, LDOCE, CALD, MacMillan

■ willingly conceded: admittedly I am afraid.

■ as acknowledged; true, avowedly, confessedly: true, she is the smartest in her class.

■ By general admission; confessedly: 

■ confessedly, by his own admission; without a doubt

.... Collins, WordNet, The American Heritage, Vicon 

■ 

1. admittedly: de l'aveu général, 
2. admittedly... : il faut reconnaître que...

■ 

1. il est vrai que / j'avoue que + [indicatif]
2. il faut reconnaître que … / il faut avouer que … / il faut en convenir, …
3. j'avoue que … + [indicatif]

■ 

• Admittedly, he's weak on economics, but he's an excellent manager.
  D'accord, l'économie n'est pas son point fort, mais il fait un excellent gestionnaire.
• Our members, although admittedly few in number, are very keen.
  Nos membres, peu nombreux il faut le reconnaître, sont très enthousiastes. 

.... http://www.freelang.net/, 

http://wordreference.com/enfr/admittedly , 

http://www.larousse.fr/dictionnaires/anglais-francais/admittedly