How Long to Read Generalized Functions, Volume 2

By I. M. Gel'fand

How Long Does it Take to Read Generalized Functions, Volume 2?

It takes the average reader 4 hours and 22 minutes to read Generalized Functions, Volume 2 by I. M. Gel'fand

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

Description

The first systematic theory of generalized functions (also known as distributions) was created in the early 1950s, although some aspects were developed much earlier, most notably in the definition of the Green's function in mathematics and in the work of Paul Dirac on quantum electrodynamics in physics. The six-volume collection, Generalized Functions, written by I. M. Gel'fand and co-authors and published in Russian between 1958 and 1966, gives an introduction to generalized functions and presents various applications to analysis, PDE, stochastic processes, and representation theory. Volume 2 is devoted to detailed study of generalized functions as linear functionals on appropriate spaces of smooth test functions. In Chapter 1, the authors introduce and study countable-normed linear topological spaces, laying out a general theoretical foundation for the analysis of spaces of generalized functions. The two most important classes of spaces of test functions are spaces of compactly supported functions and Schwartz spaces of rapidly decreasing functions. In Chapters 2 and 3 of the book, the authors transfer many results presented in Volume 1 to generalized functions corresponding to these more general spaces. Finally, Chapter 4 is devoted to the study of the Fourier transform; in particular, it includes appropriate versions of the Paley-Wiener theorem.

How long is Generalized Functions, Volume 2?

Generalized Functions, Volume 2 by I. M. Gel'fand is 261 pages long, and a total of 65,511 words.

This makes it 88% the length of the average book. It also has 80% more words than the average book.

How Long Does it Take to Read Generalized Functions, Volume 2 Aloud?

The average oral reading speed is 183 words per minute. This means it takes 5 hours and 57 minutes to read Generalized Functions, Volume 2 aloud.

What Reading Level is Generalized Functions, Volume 2?

Generalized Functions, Volume 2 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 Generalized Functions, Volume 2?

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