How Long to Read The Segal-Bargmann Transform on Euclidean Space and Generalizations

By Gestur Ólafsson

How Long Does it Take to Read The Segal-Bargmann Transform on Euclidean Space and Generalizations?

It takes the average reader 5 hours to read The Segal-Bargmann Transform on Euclidean Space and Generalizations by Gestur Ólafsson

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

Description

The main topic of this lecture note is the interplay between real and complex analysis using the heat equation and the Segal–Bargmann transform. The Segal–Bargmann transform or the heat transform, maps a square integrable function on a Euclidean space to a solution to the heat equation and this solution can be extended holomorphically to the complexification. The main ideas are introduced in the settings of a Euclidean space where only basic knowledge of analysis is needed. Those ideas are then presented in a more general and abstract framework. The connection to representation theory and infinite dimensional analysis is also discussed. We discuss the heat equation and the Segal–Bargmann transform on Riemannian symmetric spaces and the more general framework of the Heckmann–Opdam theory of hypergeometric functions associated to root systems. This is the only available textbook where all of those aspects of the theory are discussed. The first part of the text is on the level of advanced undergraduate students and beginning graduate students. The second half is more advanced and leads the reader into the theory of Hilbert spaces of holomorphic functions and abstract harmonic analysis.

How long is The Segal-Bargmann Transform on Euclidean Space and Generalizations?

The Segal-Bargmann Transform on Euclidean Space and Generalizations by Gestur Ólafsson is 300 pages long, and a total of 75,000 words.

This makes it 101% the length of the average book. It also has 92% more words than the average book.

How Long Does it Take to Read The Segal-Bargmann Transform on Euclidean Space and Generalizations Aloud?

The average oral reading speed is 183 words per minute. This means it takes 6 hours and 49 minutes to read The Segal-Bargmann Transform on Euclidean Space and Generalizations aloud.

What Reading Level is The Segal-Bargmann Transform on Euclidean Space and Generalizations?

The Segal-Bargmann Transform on Euclidean Space and Generalizations is suitable for students ages 12 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 The Segal-Bargmann Transform on Euclidean Space and Generalizations?

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