Title: One-Dimensional Linear Singular Integral Equations : Volume II General Theory and Applications
Publisher: Springer, Berlin, Springer, Basel
Publication Date: 1992
Language: English
ISBN 10: 3764327960
ISBN 13: 9783764327965
Binding: Buch
Condition: Neu
Dimensions: 238 millimeters width by 168 millimeters height by 16 millimeters depth
Weight: 590 grams

About this title

Synopsis

6 Preliminaries.- 6.1 The operator of singular integration.- 6.2 The space Lp(?,?).- 6.3 Singular integral operators.- 6.4 The spaces $$L_{p}^{ + }(\Gamma ,\rho ),L_{p}^{ - }(\Gamma ,\rho ) and \mathop{{L_{p}^{ - }}}\limits^{^\circ } (\Gamma ,\rho )$$.- 6.5 Factorization.- 6.6 One-sided invertibility of singular integral operators.- 6.7 Fredholm operators.- 6.8 The local principle for singular integral operators.- 6.9 The interpolation theorem.- 7 General theorems.- 7.1 Change of the curve.- 7.2 The quotient norm of singular integral operators.- 7.3 The principle of separation of singularities.- 7.4 A necessary condition.- 7.5 Theorems on kernel and cokernel of singular integral operators.- 7.6 Two theorems on connections between singular integral operators.- 7.7 Index cancellation and approximative inversion of singular integral operators.- 7.8 Exercises.- Comments and references.- 8 The generalized factorization of bounded measurable functions and its applications.- 8.1 Sketch of the problem.- 8.2 Functions admitting a generalized factorization with respect to a curve in Lp(?, ?).- 8.3 Factorization in the spaces Lp(?, ?).- 8.4 Application of the factorization to the inversion of singular integral operators.- 8.5 Exercises.- Comments and references.- 9 Singular integral operators with piecewise continuous coefficients and their applications.- 9.1 Non-singular functions and their index.- 9.2 Criteria for the generalized factorizability of power functions.- 9.3 The inversion of singular integral operators on a closed curve.- 9.4 Composed curves.- 9.5 Singular integral operators with continuous coefficients on a composed curve.- 9.6 The case of the real axis.- 9.7 Another method of inversion.- 9.8 Singular integral operators with regel functions coefficients.- 9.9 Estimates for the norms of the operators P?, Q? and S?.- 9.10 Singular operators on spaces H?o(?, ?).- 9.11 Singular operators on symmetric spaces.- 9.12 Fredholm conditions in the case of arbitrary weights.- 9.13 Technical lemmas.- 9.14 Toeplitz and paired operators with piecewise continuous coefficients on the spaces lp and ?p.- 9.15 Some applications.- 9.16 Exercises.- Comments and references.- 10 Singular integral operators on non-simple curves.- 10.1 Technical lemmas.- 10.2 A preliminary theorem.- 10.3 The main theorem.- 10.4 Exercises.- Comments and references.- 11 Singular integral operators with coefficients having discontinuities of almost periodic type.- 11.1 Almost periodic functions and their factorization.- 11.2 Lemmas on functions with discontinuities of almost periodic type.- 11.3 The main theorem.- 11.4 Operators with continuous coefficients - the degenerate case.- 11.5 Exercises.- Comments and references.- 12 Singular integral operators with bounded measurable coefficients.- 12.1 Singular operators with measurable coefficients in the space L2(?).- 12.2 Necessary conditions in the space L2(?).- 12.3 Lemmas.- 12.4 Singular operators with coefficients in ?p(?). Sufficient conditions.- 12.5 The Helson-Szeg� theorem and its generalization.- 12.6 On the necessity of the condition a ? Sp.- 12.7 Extension of the class of coefficients.- 12.8 Exercises.- Comments and references.- 13 Exact constants in theorems on the boundedness of singular operators.- 13.1 Norm and quotient norm of the operator of singular integration.- 13.2 A second proof of Theorem 4.1 of Chapter 12.- 13.3 Norm and quotient norm of the operator S? on weighted spaces.- 13.4 Conditions for Fredholmness in spaces Lp(?, ?).- 13.5 Norms and quotient norm of the operator aI + bS?.- 13.6 Exercises.- Comments and references.- References.

"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	� 54.42	� 63.06

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