Druck auf Anfrage Neuware - Printed after ordering - This revised and expanded monograph presents the general theory for frames and Riesz bases in Hilbert spaces as well as its concrete realizations within Gabor analysis, wavelet analysis, and generalized shift-invariant systems. Compared with the first edition, more emphasis is put on explicit constructions with attractive properties. Based on the exiting development of frame theory over the last decade, this second edition now includes new sections on the rapidly growing fields of LCA groups, generalized shift-invariant systems, duality theory for as well Gabor frames as wavelet frames, and open problems in the field. Key features include:\*Elementary introduction to frame theory in finite-dimensional spaces \* Basic results presented in an accessible way for both pure and applied mathematicians \* Extensive exercises make the work suitable as a textbook for use in graduate courses \* Full proofs included in introductory chapters; only basic knowledge of functional analysis required \* Explicit constructions of frames and dual pairs of frames, with applications and connections to time-frequency analysis, wavelets, and generalized shift-invariant systems\* Discussion of frames on LCA groups and the concrete realizations in terms of Gabor systems on the elementary groups; connections to sampling theory \* Selected research topics presented with recommendations for more advanced topics and further reading\* Open problems to stimulate further research An Introduction to Frames and Riesz Bases will be of interest to graduate students and researchers working in pure and applied mathematics, mathematical physics, and engineering. Professionals working in digital signal processing who wish to understand the theory behind many modern signal processing tools may also find this book a useful self-study reference. Review of the first edition:'Ole Christensen's An Introduction to Frames and Riesz Bases is a first-rate introduction to the field . . The book provides an excellent exposition of these topics. The material is broad enough to pique the interest of many readers, the included exercises supply some interesting challenges, and the coverage provides enough background for those new to the subject to begin conducting original research.' - Eric S. Weber, American Mathematical Monthly, Vol. 112, February, 2005.

Seller Inventory # 9783319256115

Contact seller

Report this item

Bibliographic Details

Title: An Introduction to Frames and Riesz Bases
Publisher: Birkh�user, Springer
Publication Date: 2016
Language: English
ISBN 10: 3319256114
ISBN 13: 9783319256115
Binding: Buch
Edition: 2nd Edition
Condition: Neu
Dimensions: 241 millimeters width by 160 millimeters height by 45 millimeters depth
Weight: 1250 grams

About this title

Synopsis

This revised and expanded monograph presents the general theory for frames and Riesz bases in Hilbert spaces as well as its concrete realizations within Gabor analysis, wavelet analysis, and generalized shift-invariant systems. Compared with the first edition, more emphasis is put on explicit constructions with attractive properties. Based on the exiting development of frame theory over the last decade, this second edition now includes new sections on the rapidly growing fields of LCA groups, generalized shift-invariant systems, duality theory for as well Gabor frames as wavelet frames, and open problems in the field.

Key features include:

*Elementary introduction to frame theory in finite-dimensional spaces
* Basic results presented in an accessible way for both pure and applied mathematicians
* Extensive exercises make the work suitable as a textbook for use in graduate courses
* Full proofs includ

ed in introductory chapters; only basic knowledge of functional analysis required
* Explicit constructions of frames and dual pairs of frames, with applications and connections to time-frequency analysis, wavelets, and generalized shift-invariant systems

* Discussion of frames on LCA groups and the concrete realizations in terms of Gabor systems on the elementary groups; connections to sampling theory

* Selected research topics presented with recommendations for more advanced topics and further readin

* Open problems to stimulate further research

An Introduction to Frames and Riesz Bases will be of interest to graduate students and researchers working in pure and applied mathematics, mathematical physics, and engineering. Professionals working in digital signal processing who wish to understand the theory behind many modern signal processing tools may also find this book a useful self-study reference.

Review of the first edition:

"Ole Christensen’s An Introduction to Frames and Riesz Bases is a first-rate introduction to the field … . The book provides an excellent exposition of these topics. The material is broad enough to pique the interest of many readers, the included exercises supply some interesting challenges, and the coverage provides enough background for those new to the subject to begin conducting original research."

― Eric S. Weber, American Mathematical Monthly, Vol. 112, February, 2005

About the Author

Ole Christensen is a Professor at Technical University of Denmark in the Department of Applied Mathematics and Computer Science. His research interests include harmonic analysis, frame expansions, wavelets, and Gabor systems.

"About this title" may belong to another edition of this title.

Store Description

Das Unternehmen AHA-BUCH GmbH: Seit der Gr�ndung von AHA-BUCH im Juli 2005 ist unser Hauptziel, zufriedenen Kunden so schnell und so preisg�nstig wie m�glich ihren B�cherwunsch zu erf�llen. Unsere Firma besch�ftigt 16 Mitarbeiter, die nur ein Ziel kennen: den Kunden und seine W�nsche! Auf �ber 3700 m2 Fl�che haben wir �ber 100.000 B�cher, Modernes Antiquariat und Spiele auf Lager.

Visit Seller's Storefront

Seller's business information

AHA-BUCH GmbH
Garlebsen 48, Einbeck, 37574, Germany

Sale & Shipping Terms

Terms of Sale

General Terms and Conditions and Customer Information / Privacy Policy

I. General Terms and Conditions

� 1 Basic provisions

(1) The following terms and conditions apply to all contracts that you conclude with us as a provider (AHA-BUCH GmbH) via the Internet platforms AbeBooks and/or ZVAB. Unless otherwise agreed, the inclusion of any of your own terms and conditions used by you will be objected to

(2) A consumer within the meaning of the following regulations is any natural person who concludes...

More Information

Right of cancellation

**Right of withdrawal for consumers **

(A consumer is any natural person who concludes a legal transaction for purposes that can predominantly be attributed neither to their commercial nor their independent professional activity.)

Cancellation
Withdrawal
You have the right to revoke this contract within fourteen days without giving reasons.
The revocation period is fourteen days from the day,

on which you or a third party named by you, who is not the carrier, has taken possession of the goods, provided that you have ordered one or more goods within the framework of a uniform order and these are or will be delivered uniformly;
on which you or a third party named by you, who is not the carrier, has taken possession of the last goods, provided that you have ordered several goods within the framework of a single order and these are delivered separately;
on which you or a third party named by you, who is not the carrier, has taken possession of the last partial shipment or the last piece, provided that you have ordered goods that are delivered in several partial shipments or pieces;

In order to exercise your right of withdrawal, you must inform us (AHA-BUCH GmbH, Garlebsen 48, 37574 Einbeck, telephone number: 05563 9996039, fax number: 05563 9995974, e-mail address: service@aha-buch.de) of your decision to revoke this contract by means of a clear declaration (e.B. a letter sent by post, fax or e-mail). You can use the attached model withdrawal form, but this is not mandatory.

To comply with the revocation period, it is sufficient that you send the notification of the exercise of the right of revocation before the expiry of the revocation period.

Consequences of revocation

If you withdraw from this contract, we shall reimburse you all payments that we have received from you, including delivery costs (with the exception of the additional costs resulting from the fact that you have chosen a different type of delivery than the cheapest standard delivery offered by us), immediately and at the latest within fourteen days from the day on which we received the notification of your revocation of this contract.
For this repayment, we will use the same means of payment that you used for the original transaction, unless expressly agreed otherwise with you; in no case will you be charged any fees for this repayment.

We may withhold reimbursement until we have received the goods back or until you have provided proof that you have returned the goods, whichever is the earlier.

You must return or hand over the goods to us immediately and in any case at the latest within fourteen days from the day on which you inform us of the revocation of this contract. The deadline is met if you send the goods before the expiry of the period of fourteen days.

You bear the direct costs of returning the goods.

You only have to pay for any loss of value of the goods if this loss of value is due to handling of the goods that is not necessary to check the nature, characteristics and functioning of the goods.

Reasons for exclusion or extinction

The right of revocation does not apply to contracts

for the delivery of goods which are not prefabricated and for the manufacture of which an individual choice or determination by the consumer is decisive or which are clearly tailored to the personal needs of the consumer;
for the delivery of goods that can spoil quickly or whose expiry date would be exceeded quickly;
for the delivery of alcoholic beverages, the price of which was agreed at the time of conclusion of the contract, but which can be delivered at the earliest 30 days after conclusion of the contract and whose current value depends on fluctuations in the market over which the entrepreneur has no influence;
for the delivery of newspapers, magazines or magazines with the exception of subscription contracts.

The right of revocation expires prematurely in the case of contracts

for the delivery of sealed goods that are not suitable for return for reasons of health protection or hygiene, if their seal has been removed after delivery;
for the delivery of goods if they have been inseparably mixed with other goods after delivery due to their nature;
for the delivery of sound or video recordings or computer software in a sealed package, if the seal has been removed after delivery.

Sample withdrawal form

(If you want to cancel the contract, please fill out this form and send it back.)

To AHA-BUCH GmbH, Garlebsen 48, 37574 Einbeck, fax number: 05563 9995974, e-mail address: service@aha-buch.de :
I/we () hereby revoke the contract concluded by me/us () for the purchase of the following goods ()/
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 notification on paper)
Date

(*) Delete as appropriate.

Shipping Terms

We ship your order after we received them
for articles on hand latest 24 hours,
for articles with overnight supply latest 48 hours.
In case we need to order an article from our supplier our dispatch time depends on the reception date of the articles, but the articles will be shipped on the same day.

Our goal is to send the ordered articles in the fastest, but also most efficient and secure way to our customers.

Shipping rates from Germany to U.S.A.

Shipping rates from Germany to U.S.A.
Order quantity	30 to 40 business days	7 to 14 business days
First item	� 57.37	� 66.03

Delivery times are set by sellers and vary by carrier and location. Orders passing through Customs may face delays and buyers are responsible for any associated duties or fees. Sellers may contact you regarding additional charges to cover any increased costs to ship your items.

Detailed Seller Information