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First obtain legal heir certificate from Tehasildar, then file the same and seek such claim forms (Uniform in all banks) and statement of account.   Succession certificate is not necessary in all cases.  The land transfer can be made through family settlement before Lokadalat or as advised by local advocate / solicitor.   These things can not be done in India and you have to either entrust this to a friend or relative as officials are lethargic to correspondence.

What is the process to apply for a succession certificate and what are the supporting documents needed?

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From the facts stated, it is quite obvious your siblings are also the legal heirs to the property left intestate by your father. Even in cases where ther is nomination, you are only trustee. Even in respect of the property purchased allegedly on your behalf but in the name of your father you cannot have exclusive claim unless the you had provided the funds for the purchase and this needs to be proved, if disputed..

you check with the Bank what documents they required, if any format or declaration need to by submit.

for immovable property u need heirship certificate wherein all your sister and u ahve to present before the court . Noc from your siister also required

you check with the Bank what documents they required, if any format or declaration need to by submit.

for immovable property u need heirship certificate wherein all your sister and u ahve to present before the court . Noc from your siister also required

In so far as assets for which you are a nominee, you take possession of them. Though according to judgments (not as per enacted law) a nominee is not absolute owner no law says that it is incumbent on the nominee to search for the owner.  After you take possession you can enjoy or dispose of them. It is for those who claim to be owners to claim it  legally or do otherwise. As regards property for which there is no nomination you will have to apply to the court for a succession certificate giving full particulars of the assets as well other possible legal heirs. You may also be required to give notice in newspapers. The court will send notice to the possible legal heirs. The other legal heirs may give no objection letter or contest your claim. The court will consider all claims and issue appropriate succession certifcate.  You engage a good property lawyer. He will do everything for you. Good luck.

For NOC, do we need to have the court notice and swear before the judge? Since both my sisters are settled in USA like me, do I still need to go through the NOC process in India? Can I get the NOC done here in USA?

One of my relatives in USA had a similar problem. He signed a sworn affidavit at the Indian Embassy in USA. It should not be an NOC. It should be a renouncing of the rights. The coparcenaries of my relative had to pay stamp duty to get his share "transferred" to them. Later I came to know that there was a Bombay High Court judgments saying that renoucements cannot attract stamp duty.  If the property is of value your sisters can visit India to sign the affidavit. You can pay for their airfare, if necessary. The best thing for you is to get hold of a good advocate in Bangalore to do everything for you.