Is this a basis for the Bergman space?

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What is the orthonormal basis for the Bergman space on the ...

By the way, what do you mean by "countable basis"? I assume that you are after an orthonormal basis for the Bergman space, but you should probably take note that ...

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Other solutions

What is the difference between the basis of a null space and the dimension of a null space for a matrix?

I'm rather confused and I'm starting to think it's just the same thing described with different words. If I get the *dimension of the null space*, I'm looking for a number such as 2, right? If I get the *null space* of a matrix, I get the set of vectors...

Answer:

It seems that your confusion is coming from the term "basis." A basis (in this context) is...

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Bob at Yahoo! Answers Mark as irrelevant Undo

When in a vector space, say R3, I make a basis change from the orthonormal basis to some oblique group of three vectors for example, am I changing also the inner product and the definition of distance in that space?

related question: Why there is a neccesity to change the inner product definition (hence the distance definition) when I change the basis, in order to mantain the value of that distance the same? If I leave the inner product intact and change the basis...

Answer:

No, changing basis doesn't change the inner product or redefine length. A key idea here is that the...

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Anonymous at Quora Mark as irrelevant Undo

Finding basis of a column space/row space?

I was wondering whether we can use row as well as column operations to reduce a matrix to find column space? Or do we only have to perform row operations to reduce matrix in case of row space and column operations to find column space?

Answer:

No, we cannot use row as well as column operations to reduce a matrix to find column space. Consider...

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MAsh at Yahoo! Answers Mark as irrelevant Undo

Answer:

umm...idk?

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BIGTIME FALCONS FAN! at Yahoo! Answers Mark as irrelevant Undo

Answer:

The easy way to do this is to think about what this subspace actually is, geometrically. It's a plane...

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Thomner at Yahoo! Answers Mark as irrelevant Undo

The faster you travel through space, the slower you travel through time, and vice versa - Does this have a mathematical basis in physics?

When someone asks why time slows down significantly for a particle travelling near c, you often hear the following explanation: Spacetime is a continuum. The faster you travel through space, the slower you travel to time; that's a property of this continuum...

Answer:

When you are moving away from a position and then back to the position, very fast, your trajectory in...

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Ron Maimon at Quora Mark as irrelevant Undo

Answer:

umm...idk?

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BIGTIME FALCONS FAN! at Yahoo! Answers Mark as irrelevant Undo

Answer:

In order for something to be a basis, it must be a linearly independent spanning set. Prove that it...

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Andy L at Yahoo! Answers Mark as irrelevant Undo

Answer:

For any matrix A, I would do this by (1) Finding a basis (any basis) for the column space of A, then...

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