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Rocket Download®. can safely assume that $mathcal{S}^j_lambda(Omega)$ are finite dimensional, since the image of $mathcal{S}^j_lambda(Omega)$ under such an isomorphism is a finite dimensional subspace of $mathcal{S}^j$. If $N$ is the size of $mathcal{S}^j_lambda(Omega)$, then $|lambda| = lambda_0+lambda_1+cdots+lambda_N$.

Now set $mathcal{S}_lambda(D) = mathcal{S}^0_lambda(D)oplusmathcal{S}^1_lambda(D)opluscdotsoplusmathcal{S}^j_lambda(D)opluscdots$. Then $mathcal{S}_lambda(D)$ is an infinite dimensional vector space over ${mathbb{C}}$, although the sum of its finite dimensional spaces is finite. So the dual of $mathcal{S}_lambda(D)$ would be infinite dimensional. The observation $|lambda| = lambda_0+lambda_1+cdots+lambda_N$ indicates that one of the spaces $mathcal{S}^j_lambda(D)$ must be infinite dimensional.

The functions in $mathcal{S}^j_lambda(D)$ can be written as a linear combination of $eta_k^lambda$. If we write this linear combination in terms of the basis ${eta_0,eta_1,ldots}$, the coefficient of $eta_k^lambda$ will have the form $f_


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How to get resource root name in android

How to get resource like images, xmls etc. root path.



There is no single ‘root’ name of any resource in your android project.
Assume your resource directory is like this one:
├─── drawable
│ ├─── material
│ │ └───…
│ │
│ └─── recyclerview
│ …

├─── layout

└─── strings.xml

And your drawable folders has different resources (assume your project name is MyProject and you are using simple text as a resource).
├─── MyProject

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