## Found 88 Documents (Results 1–88)

100
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### Low energy limit for the resolvent of some fibered boundary operators. (English)Zbl 07488552

MSC:  58J40 46E35 47A53
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### Elliptic operators associated with groups of quantized canonical transformations. (English. Russian original)Zbl 1405.58004

Russ. Math. Surv. 73, No. 3, 546-548 (2018); translation from Usp. Mat. Nauk 73, No. 3, 179-180 (2018).
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### New integral representations of the Maslov canonical operator in singular charts. (English. Russian original)Zbl 1369.81033

Izv. Math. 81, No. 2, 286-328 (2017); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 81, No. 2, 53-96 (2017).
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### Analytic properties of Markov semigroup generated by stochastic differential equations driven by Lévy processes. (English)Zbl 1390.60204

MSC:  60H10 60G51 47D06 60J35 60J75 35S05 35S30
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### Mellin convolution operators in Bessel potential spaces. (English)Zbl 1348.47027

MSC:  47B38 47A53 47N20
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### Reduction of nonlocal pseudodifferential operators on a noncompact manifold to classical pseudodifferential operators on a double-dimensional compact manifold. (English. Russian original)Zbl 1325.35298

Math. Notes 97, No. 4, 502-509 (2015); translation from Mat. Zametki 97, No. 4, 493-502 (2015).
MSC:  35S05 58J40
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### On the index formula for an isometric diffeomorphism. (English. Russian original)Zbl 1310.58014

J. Math. Sci., New York 201, No. 6, 818-829 (2014); translation from Sovrem. Mat., Fundam. Napravl. 46, 141-152 (2012).
MSC:  58J20 58J40 58B34
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### Elliptic theory for operators associated with diffeomorphisms of smooth manifolds. (English)Zbl 1269.58009

Molahajloo, Shahla (ed.) et al., Pseudo-differential operators, generalized functions and asymptotics. Selected papers of the 8th ISAAC congress, Moscow, Russia, August 22–27, 2011. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0584-1/hbk; 978-3-0348-0585-8/ebook). Operator Theory: Advances and Applications 231, 1-26 (2013).
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### Local index theorem for projective families. (English)Zbl 1244.58009

Khalkhali, Masoud (ed.) et al., Perspectives on noncommutative geometry. Proceedings of the noncommutative geometry workshop, Fields Institute, Toronto, Canada, May 27–31, 2008. Providence, RI: American Mathematical Society (AMS); Toronto: The Fields Institute for Research in Mathematical Sciences (ISBN 978-0-8218-4849-4/hbk). Fields Institute Communications 61, 1-27 (2011).
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### On the spectrum of the algebra of singular integral operators with discontinuities in symbols in momenta and coordinates. (English. Russian original)Zbl 1226.47104

J. Math. Sci., New York 172, No. 4, 477-531 (2011); translation from Probl. Mat. Anal. 53, 49-94 (2010).
MSC:  47L80 47G10 42A50
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### Distributions and operators. (English)Zbl 1171.47001

Graduate Texts in Mathematics 252. New York, NY: Springer (ISBN 978-0-387-84894-5/hbk). xii, 461 p. (2009).
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### Relative elliptic operators and the Sobolev problem. II. (English. Russian original)Zbl 1133.58022

Differ. Equ. 43, No. 4, 525-535 (2007); translation from Differ. Uravn. 43, No. 4, 509-518 (2007).
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### Relative elliptic operators and the Sobolev problem. I. (English. Russian original)Zbl 1133.58021

Differ. Equ. 43, No. 3, 381-395 (2007); translation from Differ. Uravn. 43, No. 3, 368-381 (2007).
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### Homotopy classification of elliptic operators on stratified manifolds. (English. Russian original)Zbl 1327.58025

Dokl. Math. 73, No. 3, 407-411 (2006); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 408, No. 5, 591-595 (2006).
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### Lefschetz theory on manifolds with singularities. (English)Zbl 1118.58010

Bojarski, Bogdan (ed.) et al., $$C^*$$-algebras and elliptic theory. Basically formed by contributions from the international conference, Bȩdlewo, Poland, February 2004. In cooperation with Dan Burghelea, Richard Melrose and Victor Nistor. Basel: Birkhäuser (ISBN 3-7643-7686-4/hbk). Trends in Mathematics, 157-186 (2006).

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### Strong approximation by Fourier-Laplace series on the unit sphere $$\mathbf S^{n-1}$$. (English)Zbl 1050.42017

MSC:  42C10 41A63 41A35
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### $$K$$-theory of Boutet de Monvel’s algebra. (English)Zbl 1065.19005

Hajac, Piotr M. (ed.) et al., Noncommutative geometry and quantum groups. Proceedings of the Banach Center school/conference, Warsaw, Poland, September 17–29, 2001. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 61, 149-156 (2003).

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### Asymptotics and index for families invariant with respect to a bundle of Lie groups. (English)Zbl 1048.58018

MSC:  58J20 47L80 58J40

### Elliptic equivalence of vector bundles. (English)Zbl 1041.58011

MSC:  58J05 58J40
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### Solvability of equations with degenerate pseudodifferential operator on a Riemannian surface. (Russian)Zbl 1022.35095

MSC:  35S05 58J40 58J20

### The index of Fourier integral operators on manifolds with conical singularities. (English. Russian original)Zbl 1004.58015

Izv. Math. 65, No. 2, 329-355 (2001); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 65, No. 2, 127-154 (2001).
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### Basic operator theory. Paperback ed. (English)Zbl 0990.47001

Boston, MA: Birkhäuser. xii, 285 p. (2001).

### A general index formula on toric manifolds with conical points. (English)Zbl 0982.58014

Gil, Juan (ed.) et al., Approaches to singular analysis. Based on the workshop, Berlin, Germany, April 8-10, 1999. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 125, 234-256 (2001).

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### The index of cone Mellin operators. (English)Zbl 0951.58027

Booss-Bavnbek, Bernhelm (ed.) et al., Geometric aspects of partial differential equations. Proceedings of a minisymposium on spectral invariants, heat equation approach, Roskilde, Denmark, September 18-19, 1998. Providence, RI: American Mathematical Society. Contemp. Math. 242, 43-49 (1999).

### The semi-Fredholmness of singular integral operators with matrix semi-almost periodic coefficients. (English. Russian original)Zbl 0963.47034

Dokl. Math. 57, No. 2, 176-178 (1998); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 359, No. 1, 10-12 (1998).
MSC:  47G10 47A53 45E05

### Contact degree and the index of Fourier integral operators. (English)Zbl 0929.58012

MSC:  58J40 58J20
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### Algebras of singular integral operators on compound contours with nodes that are logarithmic whirl points. (English. Russian original)Zbl 0895.47033

Izv. Math. 60, No. 6, 1261-1292 (1996); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 60, No. 6, 169-200 (1996).
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### Semi-Fredholm properties of certain singular integral operators. (English)Zbl 0882.47003

Böttcher, A. (ed.) et al., Singular integral operators and related topics. Joint German-Israeli workshop, Tel Aviv, Israel, March 1–10, 1995. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 90, 264-287 (1996).

### Real and functional analysis. 3. ed. (English)Zbl 0831.46001

Graduate Texts in Mathematics. 142. New York: Springer-Verlag. xiv, 580 p. (1993).
Reviewer: J.Lorenz (Berlin)

### Cyclic cocycles, renormalization and eta-invariants. (English)Zbl 0721.58049

MSC:  58J40 47G30
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### Lagrangian manifolds and the Maslov operator. Transl. from the Russian by Dana Mackenzie. (English)Zbl 0727.58001

Springer Series in Soviet Mathematics. Berlin etc.: Springer-Verlag. x, 395 p. (1990).
Reviewer: G.Popov (Sofia)

### Fredholm theory of pseudodifferential $$C^*$$-algebras on noncompact Riemannian manifolds. (English)Zbl 0723.47045

Differential equations and applications, Proc. Int. Conf., Columbus/OH (USA) 1988, Vol. II, 416-422 (1989).

### Treatise on analysis. Volume VII. Translated by Laura Fainsilber. (English)Zbl 0672.58044

Pure and Applied Mathematics (New York) 10-VII. Boston, MA etc.: Academic Press, Inc. xiv, 366 p. \$ 69.95 (1988).
Reviewer: Josef Wloka (Kiel)

### The Noether theory of a class of operators of convolution type with a shift. (English. Russian original)Zbl 0696.47014

Sov. Math., Dokl. 36, No. 1, 16-22 (1988); translation from Dokl. Akad. Nauk SSSR 295, 24-29 (1987).
Reviewer: L.Mate
MSC:  47A53 47B37 45E10

### On the Calderon projections and spectral projections of the elliptic operators. (English)Zbl 0678.47042

Reviewer: J.Schmeelk

### Theorems and problems of functional analysis. Textbook. (Teoremy i zadachi funktsional’nogo analiza. Uchebnoe posobie). 2nd ed., rev. and compl. (Teoremy i zadachi funktsional’nogo analiza. Uchebnoe posobie.) (Russian)Zbl 0641.46003

Moskva: Nauka. 400 p. R. 1.1 (1988).

### On methods of solution for some kinds of singular integral equations with convolution. (English)Zbl 0633.45002

Reviewer: N.K.Karapetianc
MSC:  45E10 47A53 30E25

### On the theory of systems of convolution type equations with semi-almost- periodic symbols in spaces of Bessel potentials. (English. Russian original)Zbl 0625.45002

Sov. Math., Dokl. 33, 180-184 (1986); translation from Dokl. Akad. Nauk SSSR 286, 799-803 (1986).
Reviewer: C.Corduneanu
MSC:  45E10 47A53 42A75

### Pseudo-differential operators and differential structures. II. (English)Zbl 0605.58040

Reviewer: V.Ivrii
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### On the trace formula for elliptic pseudodifferential operators over $$C^*$$-algebras. (English. Russian original)Zbl 0587.58051

Mosc. Univ. Math. Bull. 39, No. 5, 68-71 (1984); translation from Vestn. Mosk. Univ., Ser. I 1984, 69-72 (1984).
Reviewer: R.Johnson

### On the normal solvability of the discrete analogue of integral equations with almost difference-summable kernel. (English. Russian original)Zbl 0568.47024

Sov. J. Contemp. Math. Anal., Arm. Acad. Sci. 19, No. 5, 53-61 (1984); translation from Izv. Akad. Nauk Arm. SSR, Mat. 19, No. 5, 390-397 (1984).
Reviewer: N.Angelescu

### Asymptotics of the eigenvalues of operators with a Poisson algebra of symmetries in the highest symbol. (English. Russian original)Zbl 0565.58038

Funct. Anal. Appl. 18, 140-142 (1984); translation from Funkts. Anal. Prilozh. 18, No. 2, 65-66 (1984).
Reviewer: V.Ya.Ivrij
MSC:  58J40 58J50 35P20
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### Equivariant index, representations of compact groups and Toeplitz operators in several variables. (English)Zbl 0545.47008

Dilation theory, Toeplitz operators, and other topics, 7th int. Conf. Oper. Theory, Timişoara & Herculane/Rom. 1982, Oper. Theory, Adv. Appl. 11, 109-126 (1983).
Reviewer: T.Nakazi

### Pseudodifferential operators on supermanifolds and the Atiyah-Singer index theorem. (English)Zbl 0543.58026

Reviewer: N. Papaghiuc
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### Pseudo-differential operators and the index theorem on supermanifolds. (English)Zbl 0531.58047

Reviewer: M.E.Mayer
MSC:  58J20 58J40 43A32
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### Homotopy classification of bielliptic operators on the product of two compact manifolds. (Russian)Zbl 0523.58039

MSC:  58J40 47Gxx

### Teoremi e problemi dell’analisi funzionale. Traduzione dal russo di Ernest Koslov. (Italian)Zbl 0516.46002

Mosca: Edizioni Mir. 358 p. (1983).

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### Pseudo-differential operators. (Updated transl. from the Japanese by the author, Remi Vaillancourt, and Michihiro Nagase). (English)Zbl 0489.35003

Cambridge, Massachusetts - London: The MIT Press. XVIII, 455 p. £42.00 (1982).

### Atiyah-Bott-Lefschetz theorem for manifolds with boundary. (English)Zbl 0487.58027

MSC:  58J20 58J10 58J40
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### Boundary value problems for natural differential operators on Riemannian manifolds. (English)Zbl 0481.58024

Prepr., Inst. Math., Pol. Acad. Sci., Warsz. 240, 74 p. (1981).

### Algebras generated by weighted shift operators, and pseudodifferential operators with a shift. (English. Russian original)Zbl 0471.47031

Sov. Math., Dokl. 23, 159-161 (1981); translation from Dokl. Akad. Nauk SSSR 256, 1293-1296 (1981).

### The residue of the global eta function at the origin. (English)Zbl 0469.58015

MSC:  58J20 58J50 58J40
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### Applied functional analysis. (English)Zbl 0461.46001

Ellis Horwood Series in Mathematics and its Applications. Chichester: Ellis Horwood Limited, Publishers. New York etc.: Halsted Press: a division of John Wiley & Sons. 386 p. £25.00 (1981).

### On the index formula of a pseudo-differential operator with a finite group of shifts. (Russian)Zbl 0493.58019

Questions of functional analysis, Interuniv. Collect., Petrozavodsk 1980, 3-7 (1980).

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### Commutator ideals and pseudo-differential C*-algebras. (English)Zbl 0422.46050

MSC:  46L05 47B35 47Gxx
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### On the index of elliptic systems on a manifold with boundary. (English. Russian original)Zbl 0458.58021

Sov. Math., Dokl. 20, 1128-1132 (1979); translation from Dokl. Akad. Nauk SSSR 248, 1066-1069 (1979).
MSC:  58J20 58J40 47A53

### Über eine Verheftung elliptischer Randwert-Probleme. (German)Zbl 0437.58021

MSC:  58J40 35S15 58J20
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### The Poisson summation formula for manifolds with boundary. (English)Zbl 0421.35082

MSC:  35S05 35J05 58J40
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### Éléments d’analyse. Tome VII. Chapitre XXIII. 1ère partie. (French)Zbl 0402.58011

Cahiers Scientifiques. Fasc. XL. Paris: Gauthier-Villars. xvi, 293 p. F 210.00 (1978).

### Operatoren vom Typ der diskreten Faltung und ihre Eigenschaft, Noethersch zu sein. (Russian)Zbl 0391.47029

MSC:  47Gxx 47A53 43A32

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