An Introduction to Basic Fourier Series (Developments in Mathematics) Book PDF, ePub eBook

Join our eBook service for unlimited books & audiobooks. Get a free 7 day subscription! ↓↓↓↓↓


Book Descriptions:
It was with the publication of Norbert Wiener's book ''The Fourier In­ tegral and Certain of Its Applications" [165] in 1933 by Cambridge Univer­ sity Press that the mathematical community came to realize that there is an alternative approach to the study of c1assical Fourier Analysis, namely, through the theory of c1assical orthogonal polynomials. Little would he know at that time that this little idea of his would help usher in a new and exiting branch of c1assical analysis called q-Fourier Analysis. Attempts at finding q-analogs of Fourier and other related transforms were made by other authors, but it took the mathematical insight and instincts of none other then Richard Askey, the grand master of Special Functions and Orthogonal Polynomials, to see the natural connection between orthogonal polynomials and a systematic theory of q-Fourier Analysis. The paper that he wrote in 1993 with N. M. Atakishiyev and S. K Suslov, entitled "An Analog of the Fourier Transform for a q-Harmonic Oscillator" [13], was probably the first significant publication in this area. The Poisson k~rnel for the contin­ uous q-Hermite polynomials plays a role of the q-exponential function for the analog of the Fourier integral under considerationj see also [14] for an extension of the q-Fourier transform to the general case of Askey-Wilson polynomials. (Another important ingredient of the q-Fourier Analysis, that deserves thorough investigation, is the theory of q-Fourier series.

An Introduction to Basic Fourier Series (Developments in Mathematics) by Sergei Suslov

From reader reviews:

David Lacey:

What do you think about book? It is just for students since they're still students or the item for all people in the world, what the best subject for that? Just you can be answered for that query above. Every person has different personality and hobby for each other. Don't to be pushed someone or something that they don't would like do that. You must know how great along with important the book An Introduction to Basic Fourier Series (Developments in Mathematics). All type of book are you able to see on many solutions. You can look for the internet options or other social media.

Mary Moore:

The publication untitled An Introduction to Basic Fourier Series (Developments in Mathematics) is the e-book that recommended to you to study. You can see the quality of the book content that will be shown to an individual. The language that author use to explained their way of doing something is easily to understand. The author was did a lot of study when write the book, and so the information that they share to you is absolutely accurate. You also can get the e-book of An Introduction to Basic Fourier Series (Developments in Mathematics) from the publisher to make you more enjoy free time.

David Hedges:

An Introduction to Basic Fourier Series (Developments in Mathematics) can be one of your starter books that are good idea. We recommend that straight away because this guide has good vocabulary that can increase your knowledge in words, easy to understand, bit entertaining but nonetheless delivering the information. The writer giving his/her effort to get every word into delight arrangement in writing An Introduction to Basic Fourier Series (Developments in Mathematics) nevertheless doesn't forget the main level, giving the reader the hottest as well as based confirm resource info that maybe you can be one of it. This great information can easily drawn you into new stage of crucial thinking.

Charles Melendez:

As we know that book is very important thing to add our know-how for everything. By a reserve we can know everything we would like. A book is a set of written, printed, illustrated or perhaps blank sheet. Every year had been exactly added. This publication An Introduction to Basic Fourier Series (Developments in Mathematics) was filled in relation to science. Spend your time to add your knowledge about your technology competence. Some people has various feel when they reading the book. If you know how big benefit from a book, you can sense enjoy to read a reserve. In the modern era like currently, many ways to get book that you wanted.