Introduction to the Theory of Singular Integral Operators with Shift by Viktor G. KravchenkoIntroduction to the Theory of Singular Integral Operators with Shift by Viktor G. Kravchenko

Introduction to the Theory of Singular Integral Operators with Shift

byViktor G. Kravchenko, Georgii S. Litvinchuk

Paperback | December 24, 2012

Pricing and Purchase Info

$133.88 online 
$137.95 list price
Earn 669 plum® points

Prices and offers may vary in store

Quantity:

In stock online

Ships free on orders over $25

Not available in stores

about

problem (0. 2) was the same u that of problem (0. 1). Incidentally, later on Mandzhavidze and Khvedclidze (I) and Simonenko (I) achieved a direct reduction of problem (0. 2) to problem (0. 1) with the help of conformal mappings. Apparenlly, the first paper in which SIES were considered was the paper by Vekua (2) published in 1948. Vekua verified that the equation (0. 3) where (1; '¬ C(f), 5 is the operator of 'ingular integration with a Cauchy kernel (Srp)(!) " (". i)-I fr(T - t)-lrp(T)dT, W is the shift operator (WrpHt) = rp{a(t», in the case 01 = - (13,0, = 0. , could be reduced to problem (0. 2). We note thai, in problem (0. 2), the shift ott) need not be a Carlemao shift, . ei. , it is oot necessary that a . . (t) :::: t for some integer 11 <_20_22c_20_where20_ai28_l29_20_22_20_o28_ok_dt29_29_2c_20_028_128_129_20_3a_3a_3a_3a_21_.20_for20_the20_first20_time2c_20_the20_condition20_02c_28_129_20_3d_3d_20_120_appeared20_in20_bpafs20_theory20_in20_connection20_with20_the20_study20_of20_the20_problem20_28_0.20_429_20_by20_carle20_man20_28_229_20_who2c_20_in20_particular2c_20_showed20_that20_problem20_28_0.20_429_20_wall20_a20_natural20_generalization20_of20_the20_problem20_on20_the20_existence20_of20_an20_a.20_utomorphic20_function20_belonging20_to20_a20_certain20_group20_of20_fucs.20_thus2c_20_the20_paper20_by20_vckua20_28_229_20_is20_also20_the20_fint20_paper20_in20_which20_a20_singular20_integral20_equation20_with20_a20_non-carieman20_5hifl20_is20_on20_c20_sidered. _22c_="" where="" _ai28_l29_="" _22_="" _o28_ok_dt29_29_2c_="" _028_128_129_="" _3a_3a_3a_3a_21_.="" for="" the="" first="" _time2c_="" condition="" _02c_28_129_="%3d" 1="" appeared="" in="" bpafs="" theory="" connection="" with="" study="" of="" problem="" _28_0.="" _429_="" by="" carle="" man="" _28_229_="" _who2c_="" _particular2c_="" showed="" that="" wall="" a="" natural="" generalization="" on="" existence="" an="" a.="" utomorphic="" function="" belonging="" to="" certain="" group="" fucs.="" _thus2c_="" paper="" vckua="" is="" also="" fint="" which="" singular="" integral="" equation="" non-carieman="" 5hifl="" c="">
Title:Introduction to the Theory of Singular Integral Operators with ShiftFormat:PaperbackDimensions:288 pages, 24 × 16 × 0.02 inPublished:December 24, 2012Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9401045151

ISBN - 13:9789401045155

Reviews

Table of Contents

Introduction. 1. Background information. 2. Noetherity criterion and a formula for the index of a singular integral functional operator of first order in the continuous case. 3. The Noether theory of a singular integral functional operator of finite order in the continuous case. 4. The Noether theory of singular integral functional operators with continuous coefficients on a non-closed contour. 5. The Noether theory in algebras of singular integral functional operators. References. Index.