How Long to Read Analysis of the Hodge Laplacian on the Heisenberg Group

How Long Does it Take to Read Analysis of the Hodge Laplacian on the Heisenberg Group?

It takes the average reader 1 hour and 31 minutes to read Analysis of the Hodge Laplacian on the Heisenberg Group by Detlef Muller

Assuming a reading speed of 250 words per minute. Learn more

Description

The authors consider the Hodge Laplacian \Delta on the Heisenberg group H_n, endowed with a left-invariant and U(n)-invariant Riemannian metric. For 0\le k\le 2n+1, let \Delta_k denote the Hodge Laplacian restricted to k-forms. In this paper they address three main, related questions: (1) whether the L^2 and L^p-Hodge decompositions, 1<p<\infty, hold on H_n; (2) whether the Riesz transforms d\Delta_k^{-\frac 12} are L^p-bounded, for 1<<\infty; (3) how to prove a sharp Mihilin-Hörmander multiplier theorem for \Delta_k, 0\le k\le 2n+1.

How long is Analysis of the Hodge Laplacian on the Heisenberg Group?

Analysis of the Hodge Laplacian on the Heisenberg Group by Detlef Muller is 91 pages long, and a total of 22,841 words.

This makes it 31% the length of the average book. It also has 28% more words than the average book.

How Long Does it Take to Read Analysis of the Hodge Laplacian on the Heisenberg Group Aloud?

The average oral reading speed is 183 words per minute. This means it takes 2 hours and 4 minutes to read Analysis of the Hodge Laplacian on the Heisenberg Group aloud.

What Reading Level is Analysis of the Hodge Laplacian on the Heisenberg Group?

Analysis of the Hodge Laplacian on the Heisenberg Group is suitable for students ages 10 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Analysis of the Hodge Laplacian on the Heisenberg Group?

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