Geometric Applications Of Fourier Series And Spherical Harmonics Pdf

geometric applications of fourier series and spherical harmonics pdf

File Name: geometric applications of fourier series and spherical harmonics .zip
Size: 2931Kb
Published: 26.04.2021

This is the first comprehensive exposition of the application of spherical harmonics to prove geometric results. The author presents all the necessary tools from classical theory of spherical harmonics with full proofs. Groemer uses these tools to prove geometric inequalities, uniqueness results for projections and intersection by planes or halfspaces, stability results, and characterizations of convex bodies of a particular type, such as rotors in convex polytopes.

Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It only takes a minute to sign up. I need a topic, a primer, that will be able to introduce me to spherical harmonics and how to translate and use them with the usual tools of linear algebra and calculus, namely matrices, polynomials and derivatives for example. What topics do you suggest I should touch to get up and running with spherical harmonics starting with a linear algebra and calculus background? I would recommend studying some basics on Fourier analysis, lie algebras and Laplace-Beltrami operators.

Geometric applications of Fourier series and spherical harmonics

See what's new with book lending at the Internet Archive. Better World Books. Uploaded by station Search icon An illustration of a magnifying glass. User icon An illustration of a person's head and chest.

Sign up Log in. Web icon An illustration of a computer application window Wayback Machine Texts icon An illustration of an open book. Books Video icon An illustration of two cells of a film strip. Video Audio icon An illustration of an audio speaker. Audio Software icon An illustration of a 3.

Software Images icon An illustration of two photographs. Images Donate icon An illustration of a heart shape Donate Ellipses icon An illustration of text ellipses. Geometric applications of Fourier series and spherical harmonics Item Preview. EMBED for wordpress. Want more? Advanced embedding details, examples, and help!

There are no reviews yet. Be the first one to write a review. Books for People with Print Disabilities. Trent University Library Donation. Internet Archive Books.

Subscribe to RSS

Skip to search form Skip to main content You are currently offline. Some features of the site may not work correctly. DOI: Groemer Published Mathematics. Preface 1.

In mathematics and physical science , spherical harmonics are special functions defined on the surface of a sphere. They are often employed in solving partial differential equations in many scientific fields. Since the spherical harmonics form a complete set of orthogonal functions and thus an orthonormal basis , each function defined on the surface of a sphere can be written as a sum of these spherical harmonics. This is similar to periodic functions defined on a circle that can be expressed as a sum of circular functions sines and cosines via Fourier series. Like the sines and cosines in Fourier series, the spherical harmonics may be organized by spatial angular frequency , as seen in the rows of functions in the illustration on the right. Further, spherical harmonics are basis functions for irreducible representations of SO 3 , the group of rotations in three dimensions, and thus play a central role in the group theoretic discussion of SO 3.

Enter your mobile number or email address below and we'll send you a link to download the free Kindle App. Then you can start reading Kindle books on your smartphone, tablet, or computer - no Kindle device required. To get the free app, enter your mobile phone number. This is the first comprehensive exposition of the application of spherical harmonics to prove geometric results. The author presents all the necessary tools from classical theory of spherical harmonics with full proofs.


Contents · Preface pp ix-xii · Access PDF Export citation.


Geometric Applications of Fourier Series and Spherical Harmonics

Вначале был зарегистрирован нормальный ввод замка, в тот момент, когда она выходила из помещения Третьего узла, однако время следующей команды отпирания показалось Сьюзан странным. Две эти команды разделяло меньше одной минуты, но она была уверена, что разговаривала с коммандером больше минуты. Сьюзан просмотрела все команды. То, что она увидела, привело ее в ужас.

Geometric applications of Fourier series and spherical harmonics

 Вы продали кольцо. Девушка кивнула, и рыжие шелковистые волосы скользнули по ее плечам. Беккер молил Бога, чтобы это оказалось неправдой.

Все на подиуме воскликнули: - Что. В голосе Беккера слышались извиняющиеся нотки: - Простите, но это определенно осмысленные слова. Они выгравированы очень близко одно к другому и на первый взгляд кажутся произвольным набором букв, но если присмотреться повнимательнее, то… становится ясно, что надпись сделана по-латыни. - Вы что, морочите нам голову? - взорвался Джабба.

Fourier-series representation and projection of spherical harmonic functions

Ответа не последовало. Она открыла глаза, не в состоянии даже протянуть руку. Простыня на его половине кровати была холодной.

5 COMMENTS

Zewshacesca

REPLY

This content was uploaded by our users and we assume good faith they have the permission to share this book.

Steffen B.

REPLY

Play piano in a flash the next step pdf sketchup for dummies 2017 pdf

Christy W.

REPLY

With appropriate weights, one cycle or period of the summation can be made to approximate an arbitrary function in that interval or the entire function if it too is periodic.

Donna L.

REPLY

Computations of Fourier coefficients and related integrals of the associated Legendre functions with a new method along with their application to spherical harmonics analysis and synthesis are presented.

Metlotusma

REPLY

See what's new with book lending at the Internet Archive.

LEAVE A COMMENT