This second edition is fully updated, covering in particular new types of coherent states (the so-called Gazeau-Klauder coherent states, nonlinear coherent states, squeezed states, as used now routinely in quantum optics) and various generalizations of wavelets (wavelets on manifolds, curvelets, shearlets, etc.). In addition, it contains a new chapter on coherent state quantization and the related probabilistic aspects. As a survey of the theory of coherent states, wavelets, and some of their generalizations, it emphasizes mathematical principles, subsuming the theories of both wavelets and coherent states into a single analytic structure. The approach allows the user to take a classical-like view of quantum states in physics.

Starting from the standard theory of coherent states over Lie groups, the authors generalize the formalism by associating coherent states to group representations that are square integrable over a homogeneous space; a further step allows one to dispense with the group context altogether. In this context, wavelets can be generated from coherent states of the affine group of the real line, and higher-dimensional wavelets arise from coherent states of other groups. The unified background makes transparent an entire range of properties of wavelets and coherent states. Many concrete examples, such as coherent states from semisimple Lie groups, Gazeau-Klauder coherent states, coherent states for the relativity groups, and several kinds of wavelets, are discussed in detail. The book concludes with a palette of potential applications, from the quantum physically oriented, like the quantum-classical transition or the construction of adequate states in quantum information, to the most innovative techniques to be used in data processing.

Intended as an introduction to current research for graduate students and others entering the field, the mathematical discussion is self-contained. With its extensive references to the researchliterature, the first edition of the book is already a proven compendium for physicists and mathematicians active in the field, and with full coverage of the latest theory and results the revised second edition is even more valuable.

“Sinopsis” puede pertenecer a otra edición de este título.

Acerca del autor

Dr. S. T. Ali is a full professor in the Department of Mathematics and Statistics, Concordia University, Montreal. He has held teaching and research positions at the Abdus Salam International Centre for Theoretical Physics (Trieste, Italy); the Department of Mathematics (University of Toronto, Canada); the Institut fur Theoretische Physike (Technische Universitat Clausthal, Germany); He has written about 150 research publications, including 3 books.

JP. Antoine has a full career as a professor of mathematical physics at Universite Catholique de Louvain, Belgium, after postdocs at Princeton University, University of Pittsburgh, and University de Geneve. He was also invited professor at many foreign universities (Universite Paris 7, Universite Burundi, Fukuoka University (Japan), Concordia University, Universite Nationale du Benin). He is now professor emeritus, but continues his research activities. At the Universite Catholique de Louvain, he was head of the Institute of Theoretical and Mathematical Physics (FYMA), Chairman of the Department of Physics, and member of the European Physical Society, the American Physical Society, the International Association of Mathematical Physics, the American Mathematical Society. He is a referee for a dozen of international journals of physics, mathematical physics, and signal processing. His research interests cover a wide range. From mathematical physics, in particular, the formulation of quantum mechanics beyond Hilbert space, he moved to several innovative topics in pure mathematics, such as partial inner product spaces and partial algebras of unbounded operators, a framework in which he is still working actively. On the other hand, he also pursued several research directions in mathematical physics, namely, classical gauge field theories, coherent states and wavelets, including the applications of the latter in signal and image processing. He is the author or co-author of more than 120 research papers, four monographs and plenty of book chapters or conference papers.

J-P. Gazeau is a full professor of Physics at the University Paris Diderot (Sorbonne Paris Cite), France, a member of the "Astroparticles and Cosmology" Laboratory (CNRS, UMR 7164), and currently Chairman of the Standing Committee of the International Colloquium on Group Theoretical Methods in Physics. Having obtained his academic degrees from Sorbonne University and Pierre-and Marie Curie University (Paris 6), he spent most of his academic career in Paris and as invited professor and researcher, in many other places, among them UCLA, Louvain, Montreal, Prague, Newcastle, Krakow, Rio de Janeiro and Sao Paulo. Professor Gazeau has authored more than 160 scientific publications, including 2 books, in theoretical and Mathematical Physics, mostly devoted to group theoretical methods in physics, coherent states, quantization methods, and number theory for aperiodic systems.

“Acerca de” puede pertenecer a otra edición de este título.

preigu

Osnabrück, Alemania

Vendedor de 5 estrellas

Vendedor de AbeBooks desde el 5 de agosto de 2024

Tarifas de envío de Alemania a Estados Unidos de America

Artículo	De 60 a 60 días hábiles	De 60 a 60 días hábiles
Primer artículo	EUR 70,00	EUR 70,00

Los plazos de entrega los establecen los vendedores y varían según el transportista y la ubicación. Los pedidos que pasan por la aduana pueden sufrir retrasos y los compradores son responsables de los aranceles o tarifas asociadas. Los vendedores pueden ponerse en contacto con usted en relación con cargos adicionales para cubrir cualquier aumento en los costes de envío de los artículos.

Métodos de pago

PayPal

Descripción de la tienda

preigu betreibt einen Onlineversandhandel mit über 1 Mio. Produkten in verschiedenen Sortimenten. Das Kernsortiment besteht aus Büchern, Medien und Spielwaren. Ein gelungenes Einkaufserlebnis ist das Ziel einer jeden Bestellung bei preigu, denn der Kunde und seine Zufriedenheit stehen an erster Stelle. preigu setzt daher auf einen kompetenten Kundenservice, funktionierende Prozesse und schnelle Reaktion.

Especialidad

Bücher, Spielwaren

Información empresarial del vendedor

preigu GmbH & Co. KG

Lengericher Landstraße 19
Osnabrück, Alemania 49078

Contactar con el vendedorVer los artículos de este vendedorVer la página principal del vendedor

Condiciones de venta

About Us

Legal website operator identification:

preigu GmbH & Co. KG
Lengericher Landstr. 19
49078 Osnabrück
Germany

Telephone: +49 (0) 541 / 580 72 84
Email: mail@preigu.de

VAT No: DE 455 380 498
AG Osnabrück - HRA 209647

PhG: preigu Verwaltung GmbH
AG Osnabrück - HRB 221793
CEO: Ansas Meyer

We are neither willing nor obliged to participate in dispute resolution proceedings before consumer arbitration boards.

We are a member of the initiative "FairCommerce" since 30.11.2016.
For more information, see: https://www.haendlerbund.de/de/haendlerbund/interessenvertretung/faircommerce

Derecho al desistimiento

Instructions for revocation

Right of withdrawal for the sale of goods

Revocation right for consumers
(A ‘consumer' is any natural person who concludes a legal transaction which, to an overwhelming extent, cannot be attributed to either his commercial or independent professional activities.)

Instructions for revocation

Revocation right
You have the right to revoke this contract within 14 days without specifying any reasons.
The revocation period is 14 days with effect from the day,

on which you or a third party nominated by you, which is not the carrier, had taken possession of the products, provided you had ordered one or more products within the scope of a standard order and this/these product/products is/are delivered uniformly;
on which you or a third party nominated by you, which is not the carrier, had taken possession of the last product, provided you had ordered several products within the scope of a standard order and these products are delivered separately;
on which you or a third party nominated by you, which is not the carrier, had taken possession of the last part delivery or the last unit, provided you had ordered a product, which is delivered in several part deliveries or units;

To exercise your right of withdrawal, you must inform us (preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, Telephone number: +49 (0) 541 / 580 72 84, E-Mail address: mail@preigu.de) by means of a clear declaration (e.g. a letter sent by post, or an e-mail) of your decision to withdraw from this contract. You can use the attached model withdrawal form for this purpose, which is, however, not mandatory.

You can also exercise your right of withdrawal online by clicking on a button labelled accordingly (such as ‘Withdraw from contract' or similar) on the AbeBooks/ZVAB website. If you use this online function, you will immediately receive a confirmation of receipt on a durable medium (e.g. via email) containing information on the content of the withdrawal notice, as well as the date and time of its receipt.

In order to safeguard the revocation period, it is sufficient that you send the notification about the exercise of the revocation right before the expiry of the revocation period.

Consequences of the revocation

If you revoke this contract, we shall repay all the payments, which we received from you, including the delivery costs (with the exception of additional costs, which arise from that fact that you selected a form of delivery other than the most reasonable standard delivery offered by us), immediately and at the latest within 14 days from the day on which we received the notification about the revocation of this contract from you. We use the same means of payment, which you had originally used during the original transaction, for this repayment unless expressly agreed otherwise with you; you will not be charged any fees owing to this repayment.

We can refuse the repayment until the products are returned to us or until you have furnished evidence that you have sent the products back to us, depending on whichever is earlier.

You must return or transfer the products to us immediately and, in any case, at the latest within 14 days with effect from the day on which you inform us of the revocation of this contract. The deadline is maintained if you send the products before the expiry of the 14 day deadline.

You bear the direct costs for returning the products.

You must pay for any depreciation of the products only if this depreciation can be attributed to any handling with you that was not necessary for checking the condition, features and functionality of the products.

Criteria for exclusion or expiry

The revocation right is not available for contracts

for delivery of products, which are not prefabricated and for whose manufacturing an individual selection or stipulation by the consumer is important or which are clearly tailored to the personal requirements of the consumer;
for delivery of products, which can spoil quickly or whose use-by date would be exceeded quickly;
for delivery of alcoholic drinks, whose price was agreed at the time of concluding the contract, which however can be delivered 30 days after the conclusion of the contract at the earliest and whose current value depends on the fluctuations in the market, on which the entrepreneur has no influence;
for delivery of newspapers, periodicals or magazines with the exception of subscription contracts. The revocation right expires prematurely in case of contracts
for delivery of sealed products, which are not suitable for return for reasons of health protection or hygiene if their seal has been removed after the delivery;
for delivery of products if they have been mixed inseparably with other goods after the delivery, owing to their condition;
for delivery of sound or video recording or computer software in a sealed package if the seal has been removed after the delivery.

Specimen - revocation form

(If you wish to revoke the contract, please fill up this form and send it back to us.)

To preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, Email address: mail@preigu.de :
I/we () herewith revoke the contract concluded by me/ us () regarding the purchase of the following products ()/
the provision of the following service ()
Ordered on ()/ received on ()
Name of the consumer(s)
Address of the consumer(s)
Signature of the consumer(s) (only in case of a notification on paper)
Date

(*) Cross out the incorrect option.

Coherent States, Wavelets, and Their Generalizations

Descripción del artículo del vendedor

Detalles bibliográficos

Sinopsis

Acerca de